document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=636488>Question 636488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate.\r<BR>\n" );
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document.write( "tan(2 arc tan of 5/12)\r<BR>\n" );
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document.write( "arc cos(sin of 11pi/6)\r<BR>\n" );
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document.write( "sin(1/2 arc tan of 24/7) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401183 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=401183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate. <BR>\n" );
document.write( "tan(2 arc tan of 5/12)<BR>\n" );
document.write( "identity: tan 2x=(2 tanx)/(1-tan^2x)<BR>\n" );
document.write( "tan x=5/12<BR>\n" );
document.write( "tan(2 arc tan of 5/12)<BR>\n" );
document.write( "=(2*(5/12))/(1-(5/12)^2)<BR>\n" );
document.write( "=(10/12)/1-(25/144)<BR>\n" );
document.write( "=(120/144)/)119/144=120/119<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "arc cos(sin of 11pi/6)<BR>\n" );
document.write( "sin 11pi/6=sin 5&#960;/6=.5<BR>\n" );
document.write( "arc cos(sin of 11pi/6)<BR>\n" );
document.write( "arc cos(.5)<BR>\n" );
document.write( "=-&#8730;3/2 <BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(1/2 arc tan of 24/7)<BR>\n" );
document.write( "Identity: sin x/2=±&#8730;[(1-cos x)/2]<BR>\n" );
document.write( "tan x=24/7=opp side/adj side<BR>\n" );
document.write( "hypotenuse=&#8730;opp side^2+adj side^2)=&#8730;(24^2+7^2)=&#8730;576+49=&#8730;625=25<BR>\n" );
document.write( "hypotenuse=25<BR>\n" );
document.write( "cos x=adj side/hypotenuse=7/25<BR>\n" );
document.write( "sin(1/2 arc tan of 24/7)<BR>\n" );
document.write( "=&#8730;[(1-cos x)/2]<BR>\n" );
document.write( "=&#8730;[(1-7/25)/2]<BR>\n" );
document.write( "=&#8730;[(18/25)/2]<BR>\n" );
document.write( "=&#8730;18/50<BR>\n" );
document.write( "=&#8730;(9/25)<BR>\n" );
document.write( "=3/5<BR>\n" );
document.write( "=0.6 </SPAN>\n" );
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