document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737716>Question 737716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the expression as an algebraic expression in x. Assume x>0<BR>\n" );
document.write( "cos(2tan^-1(1/x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450517 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=450517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite the expression as an algebraic expression in x. Assume x>0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282tan%5E-1%281%2Fx%29%29 ALIGN=MIDDLE  ALT=\"cos%282tan%5E-1%281%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let O=opposite side<BR>\n" );
document.write( "let A=adjacent side<BR>\n" );
document.write( "H=hypotenuse<BR>\n" );
document.write( "...<BR>\n" );
document.write( "let y=tan^-1(1/x)<BR>\n" );
document.write( "tan(y)=(1/x)=O/A<BR>\n" );
document.write( "O=1, A=x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=sqrt%28O%5E2%2Bx%5E2%29=sqrt%281%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"H=sqrt%28O%5E2%2Bx%5E2%29=sqrt%281%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28y%29=A%2FH=x%2Fsqrt%281%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"cos%28y%29=A%2FH=x%2Fsqrt%281%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282y%29=cos%5E2%28y%29-sin%5E2%28y%29=x%5E2%2F%28x%5E2%2B1%29-1%2F%28x%5E2%2B1%29=%28x%5E2-1%29%2F%28x%5E2%2B1%29=%28x%2B1%29%28x-1%29%2F%28x%5E2%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );