document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020360>Question 1020360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm confused on how to approach this problem. \r<BR>\n" );
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document.write( "It says to solve on the interval 0 <= theta < 2pi. \r<BR>\n" );
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document.write( "Question:\r<BR>\n" );
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document.write( "cotangent(2theta/3) = -square root 3  \r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636260 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Where is the cotangent negative?<BR>\n" );
document.write( "1st quadrant: <BR>\n" );
document.write( "+/+ = +<BR>\n" );
document.write( "2nd qudrant:<BR>\n" );
document.write( "-/+ = -<BR>\n" );
document.write( "3rd quadrant:<BR>\n" );
document.write( "-/- = +<BR>\n" );
document.write( "4th qudrant:<BR>\n" );
document.write( "+/- = -<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "So it can be in the<BR>\n" );
document.write( "2nd or 4th qudrant<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cot%28+2%2Atheta+%2F+3+%29+=+-+sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+cot%28+2%2Atheta+%2F+3+%29+=+-+sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Atheta%2F3+=+arccot%28+-sqrt%283%29+%29+ ALIGN=MIDDLE  ALT=\"+2%2Atheta%2F3+=+arccot%28+-sqrt%283%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "I know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cot%28+pi%2F6+%29+=+sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+cot%28+pi%2F6+%29+=+sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+arccot%28++-sqrt%28+3+%29%29+=+pi+-+pi%2F6+ ALIGN=MIDDLE  ALT=\"+arccot%28++-sqrt%28+3+%29%29+=+pi+-+pi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+arccot%28+-sqrt%283%29+%29+=+2%2Api+-+pi%2F6+ ALIGN=MIDDLE  ALT=\"+arccot%28+-sqrt%283%29+%29+=+2%2Api+-+pi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Atheta%2F3+=+5%2Api%2F6+ ALIGN=MIDDLE  ALT=\"+2%2Atheta%2F3+=+5%2Api%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+%283%2F2%29%2A%28+5%2Api%2F6+%29+ ALIGN=MIDDLE  ALT=\"+theta+=+%283%2F2%29%2A%28+5%2Api%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+15%2Api%2F12+ ALIGN=MIDDLE  ALT=\"+theta+=+15%2Api%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Atheta%2F3+=+11%2Api%2F6+ ALIGN=MIDDLE  ALT=\"+2%2Atheta%2F3+=+11%2Api%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+%283%2F2%29%2A%28+11%2Api%2F6+%29+ ALIGN=MIDDLE  ALT=\"+theta+=+%283%2F2%29%2A%28+11%2Api%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+33%2Api%2F12+ ALIGN=MIDDLE  ALT=\"+theta+=+33%2Api%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Hope I got it! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );