How to plot polar formed complex numbers?












4















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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
begin{document}
begin{titlepage}
[]
begin{center}
%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 textbf{VARIÁVEIS COMPLEXAS}}
begin{figure}[H]
centering
[
includegraphics[width=100mm]{./Figuras/capa5.png}
]
end{figure}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


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
    14 hours ago








  • 1





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

    – Sebastiano
    13 hours 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
    10 hours ago











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

    – Matheus Guimaraes
    6 hours 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
    5 hours ago
















4















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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
begin{document}
begin{titlepage}
[]
begin{center}
%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 textbf{VARIÁVEIS COMPLEXAS}}
begin{figure}[H]
centering
[
includegraphics[width=100mm]{./Figuras/capa5.png}
]
end{figure}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


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
    14 hours ago








  • 1





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

    – Sebastiano
    13 hours 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
    10 hours ago











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

    – Matheus Guimaraes
    6 hours 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
    5 hours ago














4












4








4


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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
begin{document}
begin{titlepage}
[]
begin{center}
%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 textbf{VARIÁVEIS COMPLEXAS}}
begin{figure}[H]
centering
[
includegraphics[width=100mm]{./Figuras/capa5.png}
]
end{figure}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
begin{document}
begin{titlepage}
[]
begin{center}
%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 textbf{VARIÁVEIS COMPLEXAS}}
begin{figure}[H]
centering
[
includegraphics[width=100mm]{./Figuras/capa5.png}
]
end{figure}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


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 6 hours ago







Matheus Guimaraes













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Matheus Guimaraes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked 15 hours ago









Matheus GuimaraesMatheus Guimaraes

233




233




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
    14 hours ago








  • 1





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

    – Sebastiano
    13 hours 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
    10 hours ago











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

    – Matheus Guimaraes
    6 hours 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
    5 hours ago














  • 2





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

    – Kurt
    14 hours ago








  • 1





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

    – Sebastiano
    13 hours 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
    10 hours ago











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

    – Matheus Guimaraes
    6 hours 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
    5 hours ago








2




2





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

– Kurt
14 hours ago







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

– Kurt
14 hours ago






1




1





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

– Sebastiano
13 hours ago





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

– Sebastiano
13 hours 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
10 hours 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
10 hours ago













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

– Matheus Guimaraes
6 hours ago





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

– Matheus Guimaraes
6 hours 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
5 hours 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
5 hours ago










1 Answer
1






active

oldest

votes


















9














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}
usetikzlibrary{quotes,angles}
begin{document}
begin{tikzpicture}
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] {$z=|z|e^{itheta}$};
draw (b) node[below] {$|z|$};
draw (2,0) node[below] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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};
end{tikzpicture}
end{document}


enter image description here



Improved version:



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
usetikzlibrary{angles,positioning}
begin{document}
begin{titlepage}
vspace{1cm}
begin{center}
%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 textbf{VARIAVEIS COMPLEXAS}}

begin{center}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{center}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


enter image description here






share|improve this answer


























  • thank you very much!! worked here

    – Matheus Guimaraes
    14 hours 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
    14 hours ago











  • @MatheusGuimaraes Change documentclass[tikz]{standalone} to documentclass{article} usepackage{tikz}.

    – JouleV
    14 hours ago











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

    – Matheus Guimaraes
    14 hours ago











  • @MatheusGuimaraes Make sure you have usetikzlibrary{quotes,angles} in your preamble.

    – JouleV
    14 hours ago











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9














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}
usetikzlibrary{quotes,angles}
begin{document}
begin{tikzpicture}
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] {$z=|z|e^{itheta}$};
draw (b) node[below] {$|z|$};
draw (2,0) node[below] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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};
end{tikzpicture}
end{document}


enter image description here



Improved version:



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
usetikzlibrary{angles,positioning}
begin{document}
begin{titlepage}
vspace{1cm}
begin{center}
%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 textbf{VARIAVEIS COMPLEXAS}}

begin{center}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{center}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


enter image description here






share|improve this answer


























  • thank you very much!! worked here

    – Matheus Guimaraes
    14 hours 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
    14 hours ago











  • @MatheusGuimaraes Change documentclass[tikz]{standalone} to documentclass{article} usepackage{tikz}.

    – JouleV
    14 hours ago











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

    – Matheus Guimaraes
    14 hours ago











  • @MatheusGuimaraes Make sure you have usetikzlibrary{quotes,angles} in your preamble.

    – JouleV
    14 hours ago
















9














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}
usetikzlibrary{quotes,angles}
begin{document}
begin{tikzpicture}
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] {$z=|z|e^{itheta}$};
draw (b) node[below] {$|z|$};
draw (2,0) node[below] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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};
end{tikzpicture}
end{document}


enter image description here



Improved version:



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
usetikzlibrary{angles,positioning}
begin{document}
begin{titlepage}
vspace{1cm}
begin{center}
%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 textbf{VARIAVEIS COMPLEXAS}}

begin{center}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{center}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


enter image description here






share|improve this answer


























  • thank you very much!! worked here

    – Matheus Guimaraes
    14 hours 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
    14 hours ago











  • @MatheusGuimaraes Change documentclass[tikz]{standalone} to documentclass{article} usepackage{tikz}.

    – JouleV
    14 hours ago











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

    – Matheus Guimaraes
    14 hours ago











  • @MatheusGuimaraes Make sure you have usetikzlibrary{quotes,angles} in your preamble.

    – JouleV
    14 hours ago














9












9








9







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}
usetikzlibrary{quotes,angles}
begin{document}
begin{tikzpicture}
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] {$z=|z|e^{itheta}$};
draw (b) node[below] {$|z|$};
draw (2,0) node[below] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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};
end{tikzpicture}
end{document}


enter image description here



Improved version:



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
usetikzlibrary{angles,positioning}
begin{document}
begin{titlepage}
vspace{1cm}
begin{center}
%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 textbf{VARIAVEIS COMPLEXAS}}

begin{center}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{center}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


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}
usetikzlibrary{quotes,angles}
begin{document}
begin{tikzpicture}
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] {$z=|z|e^{itheta}$};
draw (b) node[below] {$|z|$};
draw (2,0) node[below] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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};
end{tikzpicture}
end{document}


enter image description here



Improved version:



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


enter image description here



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



documentclass[tikz]{standalone}
usetikzlibrary{quotes,angles,positioning}
begin{document}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{document}


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}%
usepackage{amsmath}
usepackage{amsfonts}
usepackage{indentfirst}
usepackage{amssymb}
usepackage{graphicx}
usepackage{color}
usepackage[dvips]{epsfig}
usepackage[dvips]{graphicx}
usepackage{float}
usepackage[latin1]{inputenc}
usepackage[brazil]{babel}
usepackage{tikz}
usepackage{multicol}
usepackage{cancel}
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
{hyperref}%
setcounter{MaxMatrixCols}{30}
%TCIDATA{OutputFilter=latex2.dll}
%TCIDATA{Version=5.50.0.2953}
%TCIDATA{LastRevised=Thursday, March 14, 2019 23:50:47}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%BeginMSIPreambleData
providecommand{U}[1]{protectrule{.1in}{.1in}}
%EndMSIPreambleData
setlength{topmargin}{-1.5cm} setlength{oddsidemargin}{0.0cm}
setlength{evensidemargin}{0.0cm} setlength{textheight}{24cm}
setlength{textwidth}{16.5cm}
renewcommand{baselinestretch}{1.25}
usetikzlibrary{angles,positioning}
begin{document}
begin{titlepage}
vspace{1cm}
begin{center}
%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 textbf{VARIAVEIS COMPLEXAS}}

begin{center}
begin{tikzpicture}
begin{scope}[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] {$z=|z|e^{itheta}$};
draw (b) node[below right] {$|z|$};
draw (2,0) node[below left=0cm and -2em] {$|z|^{1/3}$};
draw (m) node[right] {$|z|^{1/3}e^{itheta/3}$};
draw (n) node[below] {$|z|^{1/3}e^{i(theta+4pi)/3}$};
draw (p) node[above] {$|z|^{1/3}e^{i(theta+2pi)/3}$};
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;
end{scope}
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);
end{tikzpicture}
end{center}

vskip 2cm
vfill
{sc 2019.1}
end{center}
end{titlepage}%


end{document}


enter image description here







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edited 13 hours ago

























answered 15 hours ago









JouleVJouleV

6,00821549




6,00821549













  • thank you very much!! worked here

    – Matheus Guimaraes
    14 hours 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
    14 hours ago











  • @MatheusGuimaraes Change documentclass[tikz]{standalone} to documentclass{article} usepackage{tikz}.

    – JouleV
    14 hours ago











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

    – Matheus Guimaraes
    14 hours ago











  • @MatheusGuimaraes Make sure you have usetikzlibrary{quotes,angles} in your preamble.

    – JouleV
    14 hours ago



















  • thank you very much!! worked here

    – Matheus Guimaraes
    14 hours 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
    14 hours ago











  • @MatheusGuimaraes Change documentclass[tikz]{standalone} to documentclass{article} usepackage{tikz}.

    – JouleV
    14 hours ago











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

    – Matheus Guimaraes
    14 hours ago











  • @MatheusGuimaraes Make sure you have usetikzlibrary{quotes,angles} in your preamble.

    – JouleV
    14 hours ago

















thank you very much!! worked here

– Matheus Guimaraes
14 hours ago





thank you very much!! worked here

– Matheus Guimaraes
14 hours 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
14 hours 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
14 hours ago













@MatheusGuimaraes Change documentclass[tikz]{standalone} to documentclass{article} usepackage{tikz}.

– JouleV
14 hours ago





@MatheusGuimaraes Change documentclass[tikz]{standalone} to documentclass{article} usepackage{tikz}.

– JouleV
14 hours ago













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

– Matheus Guimaraes
14 hours ago





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

– Matheus Guimaraes
14 hours ago













@MatheusGuimaraes Make sure you have usetikzlibrary{quotes,angles} in your preamble.

– JouleV
14 hours ago





@MatheusGuimaraes Make sure you have usetikzlibrary{quotes,angles} in your preamble.

– JouleV
14 hours ago










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










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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.
















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