document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131335>Question 131335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the properties of inverse functions to evaluate the expression<BR>\n" );
document.write( "cos [arcsin (5sqrt29/29)]\r<BR>\n" );
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document.write( "I was told the answer is 2sqrt29/29 but I can't figure out how.  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95859 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=95859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> evaluate the expression<BR>\n" );
document.write( "cos [arcsin (5sqrt29/29)]\r<BR>\n" );
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document.write( "---------------------------------<BR>\n" );
document.write( "Sketch a rt. triangle in standard position in the 1st Quadrant.<BR>\n" );
document.write( "You have an angle whose sine is (5sqrt(29))/29<BR>\n" );
document.write( "So the hypotenuse is 29 and the vertical side is 5sqrt(29)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Use Pythagoras to solve for the horizontal side (hs)<BR>\n" );
document.write( "(hs)^2 = 29^2 -(5sqrt(29))^2<BR>\n" );
document.write( "(hs)^2 = 841 - 725<BR>\n" );
document.write( "(hs) = 10.77...<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Therefore cos[angle] = 10.77/29<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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