document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955024>Question 955024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: (cscX-cscXcos^2X)/(sinXtanX)=cotX\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583353 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it appears this one can be solve by converting everything to sines and cosines and secants and cosecants.\r<BR>\n" );
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document.write( "here's how:\r<BR>\n" );
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document.write( "work with the left side of the equation.\r<BR>\n" );
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document.write( "the expression on the left side of the equation is :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28csc%28x%29-csc%28x%29cos%5E2%28x%29%29%2F%28sin%28x%29tan%28x%29%29 ALIGN=MIDDLE  ALT=\"%28csc%28x%29-csc%28x%29cos%5E2%28x%29%29%2F%28sin%28x%29tan%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you can factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28x%29 ALIGN=MIDDLE  ALT=\"csc%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the numerator to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28x%29+%2A+%281+-+cos%5E2%28x%29%29+%2F+%28sin%28x%29+%2A+tan%28x%29%29 ALIGN=MIDDLE  ALT=\"csc%28x%29+%2A+%281+-+cos%5E2%28x%29%29+%2F+%28sin%28x%29+%2A+tan%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+cos%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"+1+-+cos%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your expression becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28csc%28x%29+%2A+sin%5E2%28x%29%29+%2F+%28sin%28x%29+%2A+tan%28x%29%29 ALIGN=MIDDLE  ALT=\"%28csc%28x%29+%2A+sin%5E2%28x%29%29+%2F+%28sin%28x%29+%2A+tan%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29+%2F+sin%28x%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29+%2F+sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <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;\" >, your expression becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28csc%28x%29+%2A+sin%28x%29%29+%2F+tan%28x%29 ALIGN=MIDDLE  ALT=\"%28csc%28x%29+%2A+sin%28x%29%29+%2F+tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28x%29+=+1%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"csc%28x%29+=+1%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29+%2F+sin%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%29+%2F+sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to 1, your expression becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2F+tan%28x%29 ALIGN=MIDDLE  ALT=\"1+%2F+tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+tan%28x%29 ALIGN=MIDDLE  ALT=\"+1+%2F+tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%29 ALIGN=MIDDLE  ALT=\"cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then your expression becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%29 ALIGN=MIDDLE  ALT=\"cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since the right side of your equation is also equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%29 ALIGN=MIDDLE  ALT=\"cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you are done and the identity has been proven.\r<BR>\n" );
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