document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396589>Question 396589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify following is an identity.<BR>\n" );
document.write( "(1++sin(x))/sin(x)=(cot^2(x))/(csc(x)-1)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281356 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=281356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Verify following is an identity.<BR>\n" );
document.write( "(1++sin(x))/sin(x)=(cot^2(x))/(csc(x)-1) \r<BR>\n" );
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document.write( "Starting with the right hand side,                      notes:\r<BR>\n" );
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document.write( "(cot^2(x))/(csc(x)-1) =(cos^2/sin^2)/((1/sin)-1)<BR>\n" );
document.write( "                      =(cos^2/sin^2)/(1-sin)/sin)<BR>\n" );
document.write( "                      =(cos^2/sin^2)*(sin/(1-sin)) (invert and multiply)<BR>\n" );
document.write( "                      =(cos^2/(sin)(1-sin)<BR>\n" );
document.write( "                      =(1-sin^2)/(sin)(1-sin)      (difference of 2 squares)<BR>\n" );
document.write( "                      =(1+sin)(1-sin)/(sin)(1-sin) ((1-sin) cancels out)<BR>\n" );
document.write( "                      =(1+sin)/sin\r<BR>\n" );
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document.write( " ans:  right hand side=left hand side </SPAN>\n" );
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