document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=773689>Question 773689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pleease help me solve the identity!!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-cotx%29%2Fcscx+%2B+%28cscx%29%2Fcotx+=+%281%2Bcotx%29%2F%28cscxcotx%29 ALIGN=MIDDLE  ALT=\"%281-cotx%29%2Fcscx+%2B+%28cscx%29%2Fcotx+=+%281%2Bcotx%29%2F%28cscxcotx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thanks so much in advance and please reply as soon as possible </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471796 by </B><A HREF=/tutors/aboutme.mpl?userid=trx1150><B>trx1150(14)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=trx1150><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=trx1150><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=471796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When solving an identity, always start with the side that looks more complicated.<BR>\n" );
document.write( "To me, I think that the left side looks more complicated. In the following work, I will only be manipulating the left side and leaving the right side out for now.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-cotx%29%2Fcscx+%2B+%28cscx%29%2Fcotx ALIGN=MIDDLE  ALT=\"%281-cotx%29%2Fcscx+%2B+%28cscx%29%2Fcotx\"   DISABLED_style= \"max-width:90%; height:auto;\" > The denominator of the right side is cscxcotx so we must try and get the denominators to match up. To get a common denominator, we can multiply the left fraction by cotx and the right fraction by cscx.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-cotx%29%28cotx%29%2Fcotxcscx+%2B+%28cscx%29%28cscx%29%2Fcotxcscx ALIGN=MIDDLE  ALT=\"%281-cotx%29%28cotx%29%2Fcotxcscx+%2B+%28cscx%29%28cscx%29%2Fcotxcscx\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "From here, let's simplify the expression by distributing where needed. Note that we can now combine the fractions since they have the same denominator but we will hold off on that temporarily.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cotx-cot%5E2x%29%2Fcotxcscx+%2B+%28csc%5E2x%29%2Fcotxcscx ALIGN=MIDDLE  ALT=\"%28cotx-cot%5E2x%29%2Fcotxcscx+%2B+%28csc%5E2x%29%2Fcotxcscx\"   DISABLED_style= \"max-width:90%; height:auto;\" > For the right fraction, let's rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%5E2x ALIGN=MIDDLE  ALT=\"csc%5E2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bcot%5E2x ALIGN=MIDDLE  ALT=\"1%2Bcot%5E2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > by using the pythagorean identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%5E2x=1%2Bcot%5E2x ALIGN=MIDDLE  ALT=\"csc%5E2x=1%2Bcot%5E2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We know have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cotx-cot%5E2x%29%2Fcotxcscx+%2B+%281%2Bcot%5E2x%29%2Fcotxcscx ALIGN=MIDDLE  ALT=\"%28cotx-cot%5E2x%29%2Fcotxcscx+%2B+%281%2Bcot%5E2x%29%2Fcotxcscx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's now combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cotx-cot%5E2x%2B1%2Bcot%5E2x%29%2Fcotxcscx ALIGN=MIDDLE  ALT=\"%28cotx-cot%5E2x%2B1%2Bcot%5E2x%29%2Fcotxcscx\"   DISABLED_style= \"max-width:90%; height:auto;\" > And then finally combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bcotx%29%2Fcotxcscx+=+%281%2Bcotx%29%2Fcotxcscx ALIGN=MIDDLE  ALT=\"%281%2Bcotx%29%2Fcotxcscx+=+%281%2Bcotx%29%2Fcotxcscx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let me know if you have any other questions. </SPAN>\n" );
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