document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953101>Question 953101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression cot^2x(1+tan^2x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582039 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%5E2%28x%29%281%2Btan%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"cot%5E2%28x%29%281%2Btan%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ............since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%5E2%28x%29=cos%5E2%28x%29%2Fsin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cot%5E2%28x%29=cos%5E2%28x%29%2Fsin%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29=sin%5E2%28x%29%2Fcos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29=sin%5E2%28x%29%2Fcos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29%281%2Bsin%5E2%28x%29%2Fcos%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29%281%2Bsin%5E2%28x%29%2Fcos%5E2%28x%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=%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29%2B%28sin%5E2%28x%29%2Fcos%5E2%28x%29%29%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29 ALIGN=MIDDLE   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=%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29%2B%28cross%28sin%5E2%28x%29%291%2Fcross%28cos%5E2%28x%29%291%29%28cross%28cos%5E2%28x%29%291%2Fcross%28sin%5E2%28x%29%291%29 ALIGN=MIDDLE   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=cos%5E2%28x%29%2Fsin%5E2%28x%29%2B1 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29%2Fsin%5E2%28x%29%2B1\"   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=cos%5E2%28x%29%2Fsin%5E2%28x%29%2B1%2Asin%5E2%28x%29%2Fsin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29%2Fsin%5E2%28x%29%2B1%2Asin%5E2%28x%29%2Fsin%5E2%28x%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=%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29%2Fsin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29%2Fsin%5E2%28x%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=1%2Fsin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%5E2%28x%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=sin%5E-2%28x%29 ALIGN=MIDDLE  ALT=\"sin%5E-2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> in terms of sine\r<BR>\n" );
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document.write( "or, we can use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsin%5E2%28x%29=csc%5E2%28x%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%5E2%28x%29=csc%5E2%28x%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=csc%5E2%28x%29 ALIGN=MIDDLE  ALT=\"csc%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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