document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=837012>Question 837012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify tan(sin^(-1) x) also written as tan(arcsinx) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504455 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=504455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To avoid confusion I will switch the sin to \"t\":::\r<BR>\n" );
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document.write( "Simplify tan(sin^(-1) t) also written as tan(arcsinx)<BR>\n" );
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document.write( "sin[sin^-1(t)) = t/1<BR>\n" );
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document.write( "By defination, sin = y/r, so y = t and r = 1<BR>\n" );
document.write( "Then x = sqrt[1^2-t^2]<BR>\n" );
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document.write( "Finally: By definition, tan(t) = y/x <BR>\n" );
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document.write( "So tan(t) = t/sqrt(1-t^2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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