document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969657>Question 969657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the exact value of tan(&#960;/6) and the double-angle identity for<BR>\n" );
document.write( "tangent to find the exact value of tan(&#960;/12) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593195 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=593195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the exact value of tan(&#960;/6) and the double-angle identity for<BR>\n" );
document.write( "tangent to find the exact value of tan(&#960;/12) <BR>\n" );
document.write( "***<BR>\n" );
document.write( "I suspect you mean the half-angle identity instead of the double-angle identity.<BR>\n" );
document.write( "Anyway, this is how you solve this problem using the tan half-angle identity.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "tan(s/2)=sin s/(1+cos s)<BR>\n" );
document.write( "tan(&#960;/12)=tan(&#960;/6)/2=sin(&#960;/6)/(1+cos(&#960;/6))=(1/2)/(1+&#8730;3/2)=1/(2+&#8730;3)<BR>\n" );
document.write( "check: (with calculator)<BR>\n" );
document.write( "tan(&#960;/12)&#8776;0.2679<BR>\n" );
document.write( "exact value as computed=1/(2+&#8730;3)&#8776;0.2679 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );