document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=693702>Question 693702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve tan 2pi/3 using the half angle identity? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427546 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=427546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do i solve tan 2pi/3 using the half angle identity?<BR>\n" );
document.write( "Identity: tanx/2=sin x/(1-cos x)<BR>\n" );
document.write( "tan(2&#960;/3)=tan(4&#960;/3)/2=sin(4&#960;/3)/(1-cos(4&#960;/3))<BR>\n" );
document.write( "sin(4&#960;/3)=-&#8730;3/2 (in quadrant III where sin<0)<BR>\n" );
document.write( "cos(4&#960;/3)=-1/2 (in quadrant III where cos<0)<BR>\n" );
document.write( "tan(2&#960;/3)=-&#8730;3/2/(1+1/2)=-(&#8730;3/2)/(3/2)=-&#8730;3/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "check with calculator:<BR>\n" );
document.write( "tan(2&#960;/3)=-0.5773..(in quadrant II where tan <0)<BR>\n" );
document.write( "-&#8730;3/3=-.5773.. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );