document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255277>Question 255277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify:\r<BR>\n" );
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document.write( "(sec^2xcscx)/(sec^2x + csc^2x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187545 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=187545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sec%5E2%28x%29%2Acsc%28x%29%29%2F%28sec%5E2%28x%29+%2B+csc%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"%28sec%5E2%28x%29%2Acsc%28x%29%29%2F%28sec%5E2%28x%29+%2B+csc%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "turn everything into sin and cos as<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F%28cos%5E2%28x%29%29%29%2A%281%2F%28sin%28x%29%29%29%29+%2F+%28%281%2F%28cos%5E2%28x%29%29%29+%2B+%281%2F%28sin%5E2%28x%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify the denominator to get<BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F%28cos%5E2%28x%29%2Asin%28x%29%29%29%29+%2F+%28%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29+%2F+%28cos%5E2%28x%29%2Asin%5E2%28x%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice cos^2x + sin^2 x = 1. Multiply by the reciprocal to get<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%5E2%28x%29%2Asin%5E2%28x%29%29%2F%28cos%5E2%28x%29%2Asin%28x%29%29 ALIGN=MIDDLE  ALT=\"%28cos%5E2%28x%29%2Asin%5E2%28x%29%29%2F%28cos%5E2%28x%29%2Asin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and simply<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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