document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180775>Question 180775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of cot(75º). PLEASE HELP ME!!!!! I really dont know what to do!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135497 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=135497\">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%2875%29 ALIGN=MIDDLE  ALT=\"cot%2875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given trigonometric expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ftan%2875%29 ALIGN=MIDDLE  ALT=\"1%2Ftan%2875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28A%29=1%2Ftan%28A%29 ALIGN=MIDDLE  ALT=\"cot%28A%29=1%2Ftan%28A%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=1%2Ftan%2845%2B30%29 ALIGN=MIDDLE  ALT=\"1%2Ftan%2845%2B30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 75 as 45+30 (note: 45 and 30 are known angles on the unit circle)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28tan%2845%29%2Btan%2830%29%29%2F%281-tan%2845%29tan%2830%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28tan%2845%29%2Btan%2830%29%29%2F%281-tan%2845%29tan%2830%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29=%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29tan%28B%29%29 ALIGN=MIDDLE  ALT=\"tan%28A%2BB%29=%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29tan%28B%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=1%2F%28%281%2Bsqrt%283%29%2F3%29%2F%281-%281%29%28sqrt%283%29%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%281%2Bsqrt%283%29%2F3%29%2F%281-%281%29%28sqrt%283%29%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2845%29 ALIGN=MIDDLE  ALT=\"tan%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 1. Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2830%29 ALIGN=MIDDLE  ALT=\"tan%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (use the unit circle)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%281%2Bsqrt%283%29%2F3%29%2F%281-sqrt%283%29%2F3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%281%2Bsqrt%283%29%2F3%29%2F%281-sqrt%283%29%2F3%29%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=1%2F%28%28%283%2Bsqrt%283%29%29%2F3%29%2F%28%283-sqrt%283%29%29%2F3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28%283%2Bsqrt%283%29%29%2F3%29%2F%28%283-sqrt%283%29%29%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28%283%2Bsqrt%283%29%29%2F3%29%2A%283%2F%283-sqrt%283%29%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28%283%2Bsqrt%283%29%29%2F3%29%2A%283%2F%283-sqrt%283%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide the inner fractions (by multiplying by the reciprocal of the second inner fraction)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28%283%2Bsqrt%283%29%29%2Fcross%283%29%29%2A%28cross%283%29%2F%283-sqrt%283%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%283%2Bsqrt%283%29%29%2F%283-sqrt%283%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%283%2Bsqrt%283%29%29%2F%283-sqrt%283%29%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=%283-sqrt%283%29%29%2F%283%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%283-sqrt%283%29%29%2F%283%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the fraction.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%2875%29=%283-sqrt%283%29%29%2F%283%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"cot%2875%29=%283-sqrt%283%29%29%2F%283%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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