File:AcosplotT.png

Explicit plot of function ArcCos.
 * $y=\mathrm{acos}(x)$

is plotted versus $x$.

C++ generator of curve
File ado.cin should be loaded in the cuffent directory for the compilation of the C++ code below:

using namespace std; typedef complex z_type;
 * 1) include 
 * 2) include 
 * 3) include 
 * 4) define DB double
 * 5) define DO(x,y) for(x=0;x=0){return I*log( z + sqrt(z*z-1.) );} else{return I*log( z - sqrt(z*z-1.) );}} if(Re(z)>=0){return -I*log( z + sqrt(z*z-1.) );} else {return -I*log( z - sqrt(z*z-1.) );} }


 * 1) define M(x,y) fprintf(o,"%6.4f %6.4f M\n",0.+x,0.+y);
 * 2) define L(x,y) fprintf(o,"%6.4f %6.4f L\n",0.+x,0.+y);
 * 3) define S(x,y) fprintf(o,"S\n",);

main{ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d; FILE *o;o=fopen("acosplot.eps","w");ado(o,220,330); fprintf(o,"110 10 translate\n 100 100 scale\n"); for(m=-1;m<2;m++){M(m,0)L(m,3)} for(n=0;n<4;n++){M(-1,n)L(1,n)} fprintf(o,"2 setlinecap .01 W 0 0 0 RGB S\n"); DO(m,2001){ x=-1.+.001*m; z=x; y=Re(acos(z)); if(m==0)M(x,y) else L(x,y) } fprintf(o,"1 setlinejoin 1 setlinecap .02 W .5 0 0 RGB S\n"); p=1.8;q=.7; fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o); system("epstopdf acosplot.eps"); system(   "open acosplot.pdf"); getchar; system("killall Preview");//for mac }

Latex generator of labels
% Copyleft 2012 by Dmitrii Kouznetsov % \documentclass[12pt]{article} % \usepackage{geometry} % \usepackage{graphicx} % \usepackage{rotating} % \paperwidth 432pt % \paperheight 668pt % \topmargin -90pt % \oddsidemargin -80pt % \textwidth 900pt % \textheight 900pt % \pagestyle {empty} % \newcommand \sx {\scalebox} % \newcommand \rot {\begin{rotate}} % \newcommand \ero {\end{rotate}} % \newcommand \ing {\includegraphics} % \begin{document} % \parindent 0pt \sx{2}{ \begin{picture}(220,323) % \put(4,6){\ing{acosplot}} % \put(0,323){\sx{1.8}{$y$}} % %\put(2,309){\sx{1.8}{$3$}} % \put(0,210){\sx{1.8}{$2$}} % \put(0,110){\sx{1.8}{$1$}} % \put(0, 10){\sx{1.8}{$0$}} % \put(1, 0){\sx{1.8}{$-\!1$}} % \put(110, 0){\sx{1.8}{$0$}} % \put(204, 0){\sx{1.9}{$x$}} % \put(117,180){\sx{1.6}{\rot{-45}$y\!=\!\mathrm{acos}(x)$\ero}} \end{picture} % } % \end{document}

Keywords
ArcCos, Inverse function, Explicit plot, Elementary function

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