document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864490>Question 864490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If cos (2 theta)= 120/169, find cos, sin, and tan </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521159 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=521159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If cos (2 theta)= 120/169, find cos, sin, and tan<BR>\n" );
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document.write( "cos(2t) = cos^2t-sin^2(t) = cos^2(t)+cos^2(t)-1 = 2cos^2(t)-1<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "2cos^2(t)-1 = 120/169<BR>\n" );
document.write( "2cos^2(t) = (120+169)/169<BR>\n" );
document.write( "cos^2(t) = (289)/(338)<BR>\n" );
document.write( "cos(t) = sqrt(289)/sqrt(338)<BR>\n" );
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document.write( "cos(2t) = 1-2sin^2(t) = 120/169<BR>\n" );
document.write( "2sin^2(t) = 49/169<BR>\n" );
document.write( "sin^2(t) = 49/338<BR>\n" );
document.write( "sin(t) = 7/sqrt(338)<BR>\n" );
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document.write( "tan(t) = sin(t)/cos(t) = 7/sqrt(289)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------------- </SPAN>\n" );
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