document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207428>Question 207428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that sin^2 x ( 1 + cot^2 x ) = 1\r<BR>\n" );
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document.write( "THANK YOU!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156851 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=156851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin^2 x ( 1 + cot^2 x ) = 1 ... Start with the given equation.\r<BR>\n" );
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document.write( "sin^2 x * 1 + sin^2 x * cot^2 x  = 1 ... Distribute\r<BR>\n" );
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document.write( "sin^2 x * 1 + sin^2 x * (cos^2 x)/(sin^2 x)  = 1 ... Replace cotangent with cosine over sine\r<BR>\n" );
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document.write( "sin^2 x + cos^2 x  = 1 ... Multiply\r<BR>\n" );
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document.write( "1 = 1 ... Use the identity sin^2 x + cos^2 x  = 1 to replace the left side\r<BR>\n" );
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document.write( "So this verifies the identity. </SPAN>\n" );
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