document.write( "Question 946513: Given sin theta=4/11, where pi/2 < theta < pi, find the value of sin 2 theta \n" ); document.write( "
Algebra.Com's Answer #577550 by stanbon(75887)\"\" \"About 
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Given sin theta=4/11, where pi/2 < theta < pi, find the value of sin 2 theta
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\n" ); document.write( "x is negative in QII
\n" ); document.write( "Since sin = y/r, y = 4 and r = 11
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\n" ); document.write( "x = -sqrt[11^2-4^2] = -sqrt(105)
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\n" ); document.write( "cos(t) = x/r = -sqrt(105)/11
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\n" ); document.write( "sin(2t) = 2*sin(t)(cos(t)) = 2*(4/11)(-sqrt(105)/11)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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