document.write( "Question 812467: What is the exact value of sin 2theta given sin theta = (5/13)? \n" ); document.write( "
Algebra.Com's Answer #489192 by stanbon(75887)\"\" \"About 
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What is the exact value of sin(2theta) given sin(theta) = (5/13)?
\n" ); document.write( "Note: cos(theta) = sqrt[13^2-5^2]/13 = sqrt(144)/13 = 12/13
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\n" ); document.write( "Your Problem::
\n" ); document.write( "sin(2t) = 2*sin(t)cos(t) = 2(5/13)(12/13) = 120/169
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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