document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523104>Question 523104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation on the interval 0 < theta < 2pi\r<BR>\n" );
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document.write( "cot 2theta/3 = -sqrt3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347249 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=347249\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation on the interval 0 < theta < 2pi <BR>\n" );
document.write( "cot 2theta/3 = -sqrt3<BR>\n" );
document.write( "**<BR>\n" );
document.write( "using x in place of theta<BR>\n" );
document.write( "cot(2x/3)=-&#8730;3<BR>\n" );
document.write( "2x/3=5&#960;/6 and 11&#960;/6 (reference angles of &#960;/6 in quadrants II and IV where cot<0)<BR>\n" );
document.write( "2x/3=5&#960;/6<BR>\n" );
document.write( "2x=15&#960;/6<BR>\n" );
document.write( "x=15&#960;/12=5&#960;/4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2x/3=11&#960;/6<BR>\n" );
document.write( "2x=33&#960;/6<BR>\n" );
document.write( "x=33&#960;/12=11&#960;/4 </SPAN>\n" );
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