document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942179>Question 942179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify the identity. \r<BR>\n" );
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document.write( "cotangent of x to the second power divided by quantity cosecant of x plus one equals quantity one minus sine of x divided by sine of x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574325 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=574325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Verify the identity.<BR>\n" );
document.write( "cotangent of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the second power :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ctg%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28ctg%28x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divided by quantity cosecant of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > plus one :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28csc%28x%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28csc%28x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so far we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ctg%5E2%28x%29%29%2F%28csc%28x%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28ctg%5E2%28x%29%29%2F%28csc%28x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then, that equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ctg%5E2%28x%29%29%2F%28csc%28x%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28ctg%5E2%28x%29%29%2F%28csc%28x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=\r<BR>\n" );
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document.write( "to quantity one minus sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-sin%28x%29%29 ALIGN=MIDDLE  ALT=\"%281-sin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divided by sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-sin%28x%29%29%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"%281-sin%28x%29%29%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ctg%5E2%28x%29%29%2F%28csc%28x%29%2B1%29=%281-sin%28x%29%29%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"%28ctg%5E2%28x%29%29%2F%28csc%28x%29%2B1%29=%281-sin%28x%29%29%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ..............since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-sin%28x%29+=+cot%5E2%28x%29 ALIGN=MIDDLE  ALT=\"1-sin%28x%29+=+cot%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%5E2%28x%29=%28cos%28x%29%29%5E2%2F%28sin%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"cot%5E2%28x%29=%28cos%28x%29%29%5E2%2F%28sin%28x%29%29%5E2\"   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=%28ctg%5E2%28x%29%29%2F%28csc%28x%29%2B1%29=%28%28cos%28x%29%29%5E2%2F%28sin%28x%29%29%5E2%29%2F%281%2Fsin%28x%29%2Bsin%28x%29%2Fsin%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28%28cos%28x%29%29%5E2%2F%28sin%28x%29%29%5Ecross%282%29%29%2F%28%281%2Bsin%28x%29%29%2Fcross%28sin%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=ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28%28cos%28x%29%29%5E2%2Fsin%28x%29%29%2F%281%2Bsin%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=ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28cos%28x%29highlight%28%28cos%28x%29%29%29%2F%28highlight%28sin%28x%29%29%281%2Bsin%28x%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.............since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29%2Fsin%28x%29=ctg%28x%29 ALIGN=MIDDLE  ALT=\"cos%28x%29%2Fsin%28x%29=ctg%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=ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28cos%28x%29+cot%28x%29%29%2F%28sin%28x%29%2B1%29 ALIGN=MIDDLE  ALT=\"ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28cos%28x%29+cot%28x%29%29%2F%28sin%28x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ................since<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bsin%28x%29+=+1%2B1%2F%28csc%28x%29%29 ALIGN=MIDDLE  ALT=\"1%2Bsin%28x%29+=+1%2B1%2F%28csc%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=ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28cos%28x%29+cot%28x%29%29%2F%281%2B1%2F%28csc%28x%29%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=ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28cos%28x%29+cot%28x%29%29%2F%28%28csc%28x%29%2B1%29%2Fcsc%28x%29%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=ctg%5E2%28x%29%2F%28csc%28x%29%2B1%29=%28csc%28x%29cos%28x%29+cot%28x%29%29%2F%28%28csc%28x%29%2B1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  ............<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28x%29cos%28x%29=ctg%28x%29 ALIGN=MIDDLE  ALT=\"csc%28x%29cos%28x%29=ctg%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=ctg+%5E2+%28x%29%2F%28csc%28x%29%2B1%29=%28cot%28x%29+cot%28x%29%29%2F%28%28csc%28x%29%2B1%29%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=ctg%5E2+%28x%29%2F%28csc%28x%29%2B1%29=cot%5E2%28x%29%2F%28%28csc%28x%29%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"ctg%5E2+%28x%29%2F%28csc%28x%29%2B1%29=cot%5E2%28x%29%2F%28%28csc%28x%29%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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