Graphing arcsin(x)

[Djones9976]

Can someone please tell me how to plot a graph of arcsin(x).  I can plot arccos(x) and arctan(x) using the codes below, but all I get is a blank when I try to plot arcsin.  I read somewhere that postscript only recognizes arctan(x) but I don't know if that is my problem.  As you will see from this code, I am trying to avoid tikz because so much other code is written without it and putting them together just confuses the issue.
Many thanks,
D. W. Jonesdjones9976 at aol.com 
  \begin{figure}\psset{algebraic=true,plotpoints=501}\begin{pspicture}(-3,-1.5)(3,1.5)\psaxes[xunit=1](0,0)(-6.283,-1.5)(6.283,1.5)\psclip{\psframe[linestyle=none](-3,-2)(3.15,4)}%\psplot[linecolor=blue,linestyle=dashed,linewidth=2pt]{-1}{1}{asin(x)}
\psplot[linecolor=red,linestyle=dashed,linewidth=2pt]{-1}{1}{acos(x)}\end{pspicture}\caption{Inverse Trigonometric plots in algebraic notation}\end{figure}
\newpage
\begin{figure}
\psset{algebraic=false,plotpoints=501}\begin{pspicture}(-3,-1.5)(3,1.5)\psaxes[xunit=1](0,0)(-6.283,-1.5)(6.283,1.5)\psclip{\psframe[linestyle=none](-3,-2)(3.15,2)}%\psplot[linecolor=green]{-3.14}{3.14}{x ATAN }
\endpsclip
\end{pspicture}\caption{Inverse Trigonometric plots in reverse polish notation}\end{figure}
  
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