document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766924>Question 766924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the exact value by using a sum or difference identity\r<BR>\n" );
document.write( "\n" );
document.write( "tan(pi/12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467334 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=467334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the exact value by using a sum or difference identity <BR>\n" );
document.write( "tan(pi/12)<BR>\n" );
document.write( "--<BR>\n" );
document.write( "1/12 = 1/3 - 1/4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "tan(pi/12) = tan[pi/3 - pi/4) = [tan(pi/3)-tan(pi/4)]/[1+tan(pi/3)tan(pi/4]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= [sqrt(3)-1]/[1+sqrt(3)]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "={(sqrt(3)-1)(sqrt(3)-1)]/[sqrt(3)+1]^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= [3-2sqrt(3)+1]/[3-1]<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "= [4-2sqrt(3)]/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= 2-sqrt(3)<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );