Gráfico tangente no tikz

Question

\documentclass[12pt,a4paper]{article}
\usepackage{graphicx}
\usepackage{amsmath,amssymb}
\usepackage{tikz}



\begin{figure}[H]
\begin{center}
\begin{tikzpicture}[scale=1.2,smooth,domain=-2*pi:2*pi];
% First line looks reasonable
\draw[blue = solid,  thick ] plot   [domain=0:5*pi/12](\x,{tan(\x r)});
% second line is not goo
\draw[blue = solid,  thick ] plot    [domain=27*pi/45:17*pi/12](\x,{tan(\x r)});

\draw[blue = solid,  thick ] plot   [domain=1.6*pi:29*pi/12](\x,{tan(\x r)});

\end{tikzpicture}
\caption{Graph of $y = \tan\theta$}
\label{fig:graphtan}
\end{center}
\end{figure}

Answer 1

A seguir está a solução do PSTricks. Apenas por diversão!

Características

O recurso que proponho aqui é que você pode determinar antecipadamente a dimensão do diagrama. Por exemplo, a largura total deve ser 10 cme a altura deve ser 4 cm. Você também pode especificar deslocamentos para fazer com que a borda, os rótulos e as setas tenham espaços suficientes e sejam equilibrados.

Saída

Interface de usuário

\def\f(#1){tan(#1)}% function to plot
\def\g[#1]{cos(#1)}% function to plot
\def\h#1{sin(#1)}% function to plot

\const{Width}{10}% total width in cm
\const{Height}{4}% total height in cm 

\const{POL}{-0.20}% pspicture left offset in cm
\const{POR}{ 0.50}% pspicture right offset in cm
\const{POB}{-0.20}% pspicture bottom offset in cm
\const{POT}{ 0.50}% pspicture top offset in cm

\const{AOL}{-0.20}% axis left offset in cm
\const{AOR}{ 0.30}% axis right offset in cm
\const{AOB}{-0.20}% axis bottom offset in cm
\const{AOT}{ 0.30}% axis top offset in cm

\const{DomL}{-2*pi}% domain left  
\const{DomR}{2*pi}% domain right  
\const{DomB}{-2}% domain bottom  
\const{DomT}{ 2}% domain top 

\const[0]{TrigLabelBase}{2}% denominator for a fraction of pi

Explicação da interface do usuário

Observe que o diagrama a seguir usa valores diferentes para fornecer espaços para anotações. Se você está tentando mapear os valores descritos acima com as anotações correspondentes abaixo, então você está comparando laranja com banana!

Código Completo

\documentclass[border=0pt,pstricks]{standalone}
\usepackage{pst-eucl,pstricks-add}
\usepackage[nomessages]{fp}
\newcommand\const[3][3]{\expandafter\FPeval\csname#2\endcsname{round(#3:#1)}}


% User defined data:
\def\f(#1){tan(#1)}% function to plot
\def\g[#1]{cos(#1)}% function to plot
\def\h#1{sin(#1)}% function to plot

\const{Width}{10}% total width in cm
\const{Height}{4}% total height in cm 

\const{POL}{-0.20}% pspicture left offset in cm
\const{POR}{ 0.50}% pspicture right offset in cm
\const{POB}{-0.20}% pspicture bottom offset in cm
\const{POT}{ 0.50}% pspicture top offset in cm

\const{AOL}{-0.20}% axis left offset in cm
\const{AOR}{ 0.30}% axis right offset in cm
\const{AOB}{-0.20}% axis bottom offset in cm
\const{AOT}{ 0.30}% axis top offset in cm

\const{DomL}{-2*pi}% domain left  
\const{DomR}{2*pi}% domain right  
\const{DomB}{-2}% domain bottom  
\const{DomT}{ 2}% domain top 

\const[0]{TrigLabelBase}{2}% denominator for a fraction of pi

% Internal used constants:
\const{XUnit}{(Width-POR+POL-AOR+AOL)/(DomR-DomL)}
\const{YUnit}{(Height-POT+POB-AOT+AOB)/(DomT-DomB)}

\const{PicL}{(POL+AOL)/XUnit+DomL}
\const{PicR}{(POR+AOR)/XUnit+DomR}
\const{PicB}{(POB+AOB)/YUnit+DomB}
\const{PicT}{(POT+AOT)/YUnit+DomT}

\const{AxiL}{AOL/XUnit+DomL}
\const{AxiR}{AOR/XUnit+DomR}
\const{AxiB}{AOB/YUnit+DomB}
\const{AxiT}{AOT/YUnit+DomT}

\const{DeltaX}{pi/TrigLabelBase}

\psset{xunit=\XUnit,yunit=\YUnit,algebraic,plotpoints=500}

\begin{document}


\begin{pspicture}[showgrid=false](\PicL,\PicB)(\PicR,\PicT)
    \psplot[linecolor=red,yMaxValue=\AxiT,yMinValue=\AxiB]{\DomL}{\DomR}{\f(x)}
%    \psplot[linecolor=green]{\DomL}{\DomR}{\g[x]}
%    \psplot[linecolor=blue]{\DomL}{\DomR}{\h{x}}
    \psaxes
    [
        trigLabels=true,
        labelFontSize=\scriptscriptstyle,
        tickcolor=gray,
        ticksize=-1.5pt 1.5pt,
        xlabelsep=3pt,
        arrowscale=1,
        trigLabelBase=\TrigLabelBase,
        dx=\DeltaX,% must come before xunit to avoid getting a strange output!  
    ]{->}(0,0)(\AxiL,\AxiB)(\AxiR,\AxiT)[$x$,0][$y$,90]
\end{pspicture}


\end{document}

Notas

Compile o código com latex->dvips->ps2pdf.

Answer 2

correr com xelatexoulatex->dvips->ps2pdf

\documentclass[a4paper,12pt]{article}
\usepackage{pst-plot}

\begin{document}

\begin{pspicture}(-5.5,-7)(6.5,6.5)
\psaxes[trigLabelBase=2,dx=\psPiH,
   xunit=\psPi,trigLabels]{->}(0,0)(-1.7,-5.5)(1.77,5.5)[$x$,0][$y$,90]
\psplot[algebraic,yMaxValue=5,linewidth=1.6pt,plotpoints=2000,
  linecolor=red]{-4.55}{4.55}{tan(x)}
\psline[linestyle=dashed](-\psPiH,-5)(-\psPiH,5)

\psline[linestyle=dashed](\psPiH,-5)(\psPiH,5)
\end{pspicture} 

\end{document}