document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=623885>Question 623885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sin^2x(1+cot^2x)=1<BR>\n" );
document.write( "prove the identity </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392389 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin^2x(1+cot^2x)=1<BR>\n" );
document.write( "distributing the sin^2x:<BR>\n" );
document.write( "sin^2x + sin^2xcot^2x = 1<BR>\n" );
document.write( "substitute identity of \"cot^2x\" = cos^2x/sin^2x:<BR>\n" );
document.write( "sin^2x + sin^2x(cos^2x/sin^2x) = 1<BR>\n" );
document.write( "sin^2x + cos^2x = 1<BR>\n" );
document.write( "substitute left side with identity of \"sin^2x + cos^2x\" = 1:<BR>\n" );
document.write( "1 = 1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );