document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210770>Question 210770</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1429210761/algebrahomeworkh>Single Variable Calculus</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the given function by referring to the appropriate triangle or trigonometric identity. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5Btan%5E%28-1%29%28x%29%5D ALIGN=MIDDLE  ALT=\"cos%5Btan%5E%28-1%29%28x%29%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159241 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=159241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify the given function by referring to the appropriate triangle or trigonometric identity. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5Btan%5E%28-1%29%28x%29%5D ALIGN=MIDDLE  ALT=\"cos%5Btan%5E%28-1%29%28x%29%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Draw a right triangle.<BR>\n" );
document.write( "Let \"a\" be one of the small angles.<BR>\n" );
document.write( "Let a = tan^-1(x)<BR>\n" );
document.write( "Then the tan(a) = x/1<BR>\n" );
document.write( "Lebel the side opposite \"a\" as \"x\", and the adjacent side as one.<BR>\n" );
document.write( "Then, using Pythagoras\", the hypotenuse is sqrt(1+x^2)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Then cos(a) = 1/sqrt(1+x^2)<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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