document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441226>Question 441226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove\r<BR>\n" );
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document.write( "(cot^2x)/(sinx+cosx)=(cos^2xsinx-cos^3x)/(2sin^4x-sin^2x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304578 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We transform the right side until reach the same expression as the left side:\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cosx%29%5E2%28sinx-cosx%29%2F%28%28sinx%29%5E2%282%28sinx%29%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%28cosx%29%5E2%28sinx-cosx%29%2F%28%28sinx%29%5E2%282%28sinx%29%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cotx%29%5E2%28sinx-cosx%29%2F%282%28sinx%29%5E2-%28sinx%29%5E2-%28cosx%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28cotx%29%5E2%28sinx-cosx%29%2F%282%28sinx%29%5E2-%28sinx%29%5E2-%28cosx%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cotx%29%5E2%28sinx-cosx%29%2F%28sinx%2Bcosx%29%28sinx-cosx%29=%28cotx%29%5E2%2F%28sinx%2Bcosx%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, thus \r<BR>\n" );
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document.write( "the identity is true. </SPAN>\n" );
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