document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206215>Question 1206215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am getting a bit confused as to what to do next on this this problem:\r<BR>\n" );
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document.write( "Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)<BR>\n" );
document.write( "cot(x) − tan(x) = sec(x)(csc(x) − 2 sin(x))\r<BR>\n" );
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document.write( "Here's what I have so far:\r<BR>\n" );
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document.write( "cot(x) − tan(x)= cos(x)/sin(x)-sin(x)/cos(x)\r<BR>\n" );
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document.write( "cos^2(x)-sin^2(x)/sin^2(x)cos(x)  **The entire equation is over sin^2(x)cos^2(x)\r<BR>\n" );
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document.write( "I know that the top of the next equation would be:<BR>\n" );
document.write( "1-(sin^2(x)+sin^2(x))\r<BR>\n" );
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document.write( "I'm not sure how to figure out the rest. Any help would be appreciated. Thank you!\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 #843493 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=843493\">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%28x%29+-+tan%28x%29+=+sec%28x%29%28csc%28x%29+-+2+sin%28x%29%29 ALIGN=MIDDLE  ALT=\"cot%28x%29+-+tan%28x%29+=+sec%28x%29%28csc%28x%29+-+2+sin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%29+-+tan%28x%29 ALIGN=MIDDLE  ALT=\"cot%28x%29+-+tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%29=cos%28x%29%2Fsin%28x%29+ ALIGN=MIDDLE  ALT=\"cot%28x%29=cos%28x%29%2Fsin%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29=sin%28x%29%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"tan%28x%29=sin%28x%29%2Fcos%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=cos%28x%29%2Fsin%28x%29-sin%28x%29%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"cos%28x%29%2Fsin%28x%29-sin%28x%29%2Fcos%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-sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29 ALIGN=MIDDLE  ALT=\"%28cos%5E2%28x%29-sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28x%29=1-sin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29=1-sin%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=%281-sin%5E2%28x%29-sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29 ALIGN=MIDDLE  ALT=\"%281-sin%5E2%28x%29-sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%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=%281-2sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29 ALIGN=MIDDLE  ALT=\"%281-2sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...expand\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28sin%28x%29%2Acos%28x%29%29-%282sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28sin%28x%29%2Acos%28x%29%29-%282sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...simplify\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsin%28x%29%29%2A%281%2Fcos%28x%29%29-2sin%28x%29%281%2Fcos%28x%29%29 ALIGN=MIDDLE  ALT=\"%281%2Fsin%28x%29%29%2A%281%2Fcos%28x%29%29-2sin%28x%29%281%2Fcos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsin%28x%29=csc%28x%29+ ALIGN=MIDDLE  ALT=\"1%2Fsin%28x%29=csc%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcos%28x%29=sec%28x%29 ALIGN=MIDDLE  ALT=\"1%2Fcos%28x%29=sec%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%28x%29+%2Asec%28x%29-%282sin%28x%29%29%28sec%28x%29%29 ALIGN=MIDDLE  ALT=\"csc%28x%29+%2Asec%28x%29-%282sin%28x%29%29%28sec%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor out<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sec%28x%29 ALIGN=MIDDLE  ALT=\"+sec%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=sec%28x%29%28csc%28x%29+-2sin%28x%29%29 ALIGN=MIDDLE  ALT=\"sec%28x%29%28csc%28x%29+-2sin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );