# Graphing each trigonometric function and its inverse

May I have the code for graphing each trigonometric function and its inverse on the same Cartesian plane? I have the following code for only graphing the sine function, and I got the following error: sorry, the supplied plot command is unknown by pgfplots. Please give me a web site for the syntax for the \begin{axis} command.

\documentclass{amsart}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[grid=both,domain=-2*pi:2*pi,samples=200,no marks,
xticklabels={-2$\pi$,-1.5$\pi$,...$\pi$,2$\pi$},x post scale=1.5]
\end{axis}
\end{tikzpicture}
\end{document}


Just for typing exercise.

\documentclass[border=15pt,pstricks]{standalone}
\usepackage{pst-math,pst-plot}

\def\f{sin(x)}
\def\finv{ASIN(x)}

\psset
{
xtrigLabels,
ytrigLabels,
trigLabelBase=2,
plotpoints=200,
}

\begin{document}
\makeatletter
\begin{pspicture}[algebraic](-\psPi,-\dimexpr\pstPI2 cm +\pstPI4 cm)(\dimexpr\psPiTwo cm +\pstPI2 cm,\dimexpr\pstPI2 cm +\pstPI4 cm)
\psaxes[dx=\pstPI2,dy=\pstPI2]{->}(0,0)(-\psPi,-\dimexpr\pstPI2 cm +\pstPI4 cm)(\dimexpr\psPiTwo cm +\pstPI4 cm,\dimexpr\pstPI2 cm +\pstPI4 cm)[$x$,0][$y$,90]
\psset{strokeopacity=.5}
\psplot[linecolor=blue]{Pi 2 div neg}{TwoPi}{\f}
\psplot[linecolor=red]{-1}{1}{\finv}
\end{pspicture}
\end{document}