(*^
::[ Information =
"This is a Mathematica Notebook file. It contains ASCII text, and can be
transferred by email, ftp, or other text-file transfer utility. It should
be read or edited using a copy of Mathematica or MathReader. If you
received this as email, use your mail application or copy/paste to save
everything from the line containing (*^ down to the line containing ^*)
into a plain text file. On some systems you may have to give the file a
name ending with ".ma" to allow Mathematica to recognize it as a Notebook.
The line below identifies what version of Mathematica created this file,
but it can be opened using any other version as well.";
FrontEndVersion = "Macintosh Mathematica Notebook Front End Version 2.2";
MacintoshStandardFontEncoding;
fontset = title, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e8, 24, "Times";
fontset = subtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e6, 18, "Times";
fontset = subsubtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, italic, e6, 14, "Times";
fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M22, bold, a20, 18, "Times";
fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M19, bold, a15, 14, "Times";
fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, a12, 12, "Times";
fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, "Times";
fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, L-5, 12, "Courier";
fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier";
fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, R65535, L-5, 12, "Courier";
fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier";
fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, B65535, L-5, 12, "Courier";
fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M7, l34, w282, h287, 12, "Courier";
fontset = name, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic, 10, "Geneva";
fontset = header, inactive, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = leftheader, inactive, L2, 12, "Times";
fontset = footer, inactive, noKeepOnOnePage, preserveAspect, center, M7, 12, "Times";
fontset = leftfooter, inactive, L2, 12, "Times";
fontset = help, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, "Times";
fontset = clipboard, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = completions, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = special1, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = special2, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = special3, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = special4, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = special5, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
paletteColors = 128; automaticGrouping; currentKernel;
]
:[font = input; preserveAspect]
ClearAll;
$DefaultFont = {"Times-Roman",10};
Needs["Graphics`Graphics`"];Needs["Graphics`Arrow`"];
ticktable = Table[0.5(i-1),{i,4}];
acline1 = Graphics[{Dashing[{0.001,0.01}],Line[{{0.81,0},{0.81,ac[0.81]}}]}];
acline2 = Graphics[{Dashing[{0.01,0.01}],Line[{{0.81,ac[0.81]},{0.81,Pi/2}}]}];
asline1 = Graphics[{Dashing[{0.01,0.01}],Line[{{0.81,0},{0.81,as[0.81]}}]}];
asline2 = Graphics[{Dashing[{0.001,0.01}],Line[{{0.81,as[0.81]},{0.81,Pi/2}}]}];
ac[y_]:= ArcCos[y];as[y_]:= ArcSin[y];
plot1 = Plot[Cos[x],{x,0,Pi/2},AspectRatio->Automatic,
Ticks->{ticktable,ticktable},
AxesLabel->{x,y},
PlotRange->{{0,1.7},{-0.025,1.6}},
AxesOrigin->{-0.05,-0.04},
PlotLabel->"y = cos(x)"];
plot2 = Plot[Sin[x],{x,0,Pi/2},AspectRatio->Automatic,
Ticks->{ticktable,ticktable},
AxesLabel->{x,y},
PlotRange->{{0,1.7},{-0.025,1.6}},
AxesOrigin->{-0.05,-0.04},
PlotLabel->"y = sin(x)"];
plot3 = Show[Plot[ac[x],{x,0,1},AspectRatio->Automatic,
Ticks->{ticktable,ticktable},
AxesLabel->{y,x},
PlotRange->{{0,1.7},{-0.025,1.6}},
AxesOrigin->{-0.05,-0.04},
PlotLabel->"x = arccos(y)"],acline1,acline2];
plot4 = Show[Plot[as[x],{x,0,1},AspectRatio->Automatic,
Ticks->{ticktable,ticktable},
AxesLabel->{y,x},
PlotRange->{{0,1.7},{-0.025,1.6}},
AxesOrigin->{-0.05,-0.04},
PlotLabel->"x = arcsin(y)"],asline1,asline2];
Show[GraphicsArray[{{plot1,plot2},{plot3,plot4}}],
PlotLabel->"Figure 30.2"]
^*)