document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196590>Question 196590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that tan(pi/2+x)=-cotx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147342 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147342\">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=tan%28pi%2F2%2Bx%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"tan%28pi%2F2%2Bx%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "Note: I'm ONLY manipulating the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%2F2%2Bx%29%2Fcos%28pi%2F2%2Bx%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"sin%28pi%2F2%2Bx%29%2Fcos%28pi%2F2%2Bx%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <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=%28sin%28pi%2F2%29cos%28x%29%2Bcos%28pi%2F2%29sin%28x%29%29%2F%28cos%28pi%2F2%29cos%28x%29-sin%28pi%2F2%29sin%28x%29%29=-cot%28x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Expand\r<BR>\n" );
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document.write( "Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%2BB%29=sin%28A%29cos%28B%29%2Bcos%28A%29sin%28B%29 ALIGN=MIDDLE  ALT=\"sin%28A%2BB%29=sin%28A%29cos%28B%29%2Bcos%28A%29sin%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%2BB%29=cos%28A%29cos%28B%29-sin%28A%29sin%28B%29 ALIGN=MIDDLE  ALT=\"cos%28A%2BB%29=cos%28A%29cos%28B%29-sin%28A%29sin%28B%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=%28%281%29cos%28x%29%2B%280%29sin%28x%29%29%2F%28%280%29cos%28x%29-%281%29sin%28x%29%29=-cot%28x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 1. Evaluate the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28x%29%2B0%29%2F%280-sin%28x%29%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"%28cos%28x%29%2B0%29%2F%280-sin%28x%29%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28x%29%29%2F%28-sin%28x%29%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"%28cos%28x%29%29%2F%28-sin%28x%29%29=-cot%28x%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=-cot%28x%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"-cot%28x%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%29=1%2Ftan%28x%29=cos%28x%29%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"cot%28x%29=1%2Ftan%28x%29=cos%28x%29%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this verifies the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28pi%2F2%2Bx%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"tan%28pi%2F2%2Bx%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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