How to plot polar formed complex numbers?TikZ node shape depends on inside textPolar plot: label and legend rotationtikz and polar plotTikz plot polar equation with foreachNot getting the correct polar plottikzpicture polar plot with negative function valuesPolar plot using pgfplots/tikzQuiver plot in polar coordinatesSurface plot over complex planePlot a Polar Cordinate Node pointPGFPlots: Background color for polar plot

How to determine the greatest d orbital splitting?

Unfrosted light bulb

PTIJ: Why do we make a Lulav holder?

UK Tourist Visa- Enquiry

What kind of footwear is suitable for walking in micro gravity environment?

Determine voltage drop over 10G resistors with cheap multimeter

Have any astronauts/cosmonauts died in space?

Does fire aspect on a sword, destroy mob drops?

Print a physical multiplication table

PTIJ: Where did Achashverosh's years wander off to?

Error in master's thesis, I do not know what to do

What is the difference between something being completely legal and being completely decriminalized?

Why is participating in the European Parliamentary elections used as a threat?

Animating wave motion in water

Smaller neighborhood around the identity of Lie Group

Is there any common country to visit for uk and schengen visa?

Emojional cryptic crossword

The English Debate

Single word to change groups

What happens when the centripetal force is equal and opposite to the centrifugal force?

Should a narrator ever describe things based on a characters view instead of fact?

When did hardware antialiasing start being available?

How are passwords stolen from companies if they only store hashes?

Why is the intercept typed in as a 1 in stats packages (R, python)



How to plot polar formed complex numbers?


TikZ node shape depends on inside textPolar plot: label and legend rotationtikz and polar plotTikz plot polar equation with foreachNot getting the correct polar plottikzpicture polar plot with negative function valuesPolar plot using pgfplots/tikzQuiver plot in polar coordinatesSurface plot over complex planePlot a Polar Cordinate Node pointPGFPlots: Background color for polar plot













7















I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?










share|improve this question









New contributor




Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.















  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    2 days ago







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    2 days ago











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    2 days ago











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    2 days ago















7















I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?










share|improve this question









New contributor




Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.















  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    2 days ago







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    2 days ago











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    2 days ago











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    2 days ago













7












7








7


1






I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?










share|improve this question









New contributor




Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?







tikz-pgf






share|improve this question









New contributor




Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 2 days ago







Matheus Guimaraes













New contributor




Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 2 days ago









Matheus GuimaraesMatheus Guimaraes

384




384




New contributor




Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    2 days ago







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    2 days ago











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    2 days ago











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    2 days ago












  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    2 days ago







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    2 days ago











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    2 days ago











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    2 days ago







2




2





@close-voters: Please add a comment about the reason to close vote! I voted for leave open!

– Kurt
2 days ago






@close-voters: Please add a comment about the reason to close vote! I voted for leave open!

– Kurt
2 days ago





1




1





@Kurt I agree with you. I also ask questions where I don't know where to start.

– Sebastiano
2 days ago





@Kurt I agree with you. I also ask questions where I don't know where to start.

– Sebastiano
2 days ago













This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

– Davy M
2 days ago





This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

– Davy M
2 days ago













@Davy M So how can I do it? I put this in the description of the question?

– Matheus Guimaraes
2 days ago





@Davy M So how can I do it? I put this in the description of the question?

– Matheus Guimaraes
2 days ago













@MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

– Davy M
2 days ago





@MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

– Davy M
2 days ago










1 Answer
1






active

oldest

votes


















11














Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhitez;
draw (m) node[right] contourwhitez;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer

























  • thank you very much!! worked here

    – Matheus Guimaraes
    2 days ago











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    2 days ago











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    2 days ago










Your Answer








StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "85"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);






Matheus Guimaraes is a new contributor. Be nice, and check out our Code of Conduct.









draft saved

draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f479801%2fhow-to-plot-polar-formed-complex-numbers%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown

























1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









11














Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhitez;
draw (m) node[right] contourwhitez;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer

























  • thank you very much!! worked here

    – Matheus Guimaraes
    2 days ago











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    2 days ago











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    2 days ago















11














Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhitez;
draw (m) node[right] contourwhitez;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer

























  • thank you very much!! worked here

    – Matheus Guimaraes
    2 days ago











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    2 days ago











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    2 days ago













11












11








11







Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhitez;
draw (m) node[right] contourwhitez;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer















Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhitez;
draw (m) node[right] contourwhitez;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] z;
draw (m) node[right] z;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited yesterday

























answered 2 days ago









JouleVJouleV

6,49121750




6,49121750












  • thank you very much!! worked here

    – Matheus Guimaraes
    2 days ago











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    2 days ago











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    2 days ago

















  • thank you very much!! worked here

    – Matheus Guimaraes
    2 days ago











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    2 days ago











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    2 days ago











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    2 days ago
















thank you very much!! worked here

– Matheus Guimaraes
2 days ago





thank you very much!! worked here

– Matheus Guimaraes
2 days ago













Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

– Matheus Guimaraes
2 days ago





Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

– Matheus Guimaraes
2 days ago













@MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

– JouleV
2 days ago





@MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

– JouleV
2 days ago













I did this but when I compile it gives an error in '' pic ''. How do I correct it?

– Matheus Guimaraes
2 days ago





I did this but when I compile it gives an error in '' pic ''. How do I correct it?

– Matheus Guimaraes
2 days ago













@MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

– JouleV
2 days ago





@MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

– JouleV
2 days ago










Matheus Guimaraes is a new contributor. Be nice, and check out our Code of Conduct.









draft saved

draft discarded


















Matheus Guimaraes is a new contributor. Be nice, and check out our Code of Conduct.












Matheus Guimaraes is a new contributor. Be nice, and check out our Code of Conduct.











Matheus Guimaraes is a new contributor. Be nice, and check out our Code of Conduct.














Thanks for contributing an answer to TeX - LaTeX Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid


  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f479801%2fhow-to-plot-polar-formed-complex-numbers%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Adding axes to figuresAdding axes labels to LaTeX figuresLaTeX equivalent of ConTeXt buffersRotate a node but not its content: the case of the ellipse decorationHow to define the default vertical distance between nodes?TikZ scaling graphic and adjust node position and keep font sizeNumerical conditional within tikz keys?adding axes to shapesAlign axes across subfiguresAdding figures with a certain orderLine up nested tikz enviroments or how to get rid of themAdding axes labels to LaTeX figures

Tähtien Talli Jäsenet | Lähteet | NavigointivalikkoSuomen Hippos – Tähtien Talli

Do these cracks on my tires look bad? The Next CEO of Stack OverflowDry rot tire should I replace?Having to replace tiresFishtailed so easily? Bad tires? ABS?Filling the tires with something other than air, to avoid puncture hassles?Used Michelin tires safe to install?Do these tyre cracks necessitate replacement?Rumbling noise: tires or mechanicalIs it possible to fix noisy feathered tires?Are bad winter tires still better than summer tires in winter?Torque converter failure - Related to replacing only 2 tires?Why use snow tires on all 4 wheels on 2-wheel-drive cars?