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)![]() ![]() ![]() You can put this solution on YOUR website! Given sin theta=4/11, where pi/2 < theta < pi, find the value of sin 2 theta \n" ); document.write( "------ \n" ); document.write( "x is negative in QII \n" ); document.write( "Since sin = y/r, y = 4 and r = 11 \n" ); document.write( "---- \n" ); document.write( "x = -sqrt[11^2-4^2] = -sqrt(105) \n" ); document.write( "------ \n" ); document.write( "cos(t) = x/r = -sqrt(105)/11 \n" ); document.write( "------- \n" ); document.write( "sin(2t) = 2*sin(t)(cos(t)) = 2*(4/11)(-sqrt(105)/11) \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |