document.write( "Question 1158058: find the exact solutions of cos theta if sin theta = 3/4 pi/2 is less than or equal to theta and theta is less than or equal to pi
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Algebra.Com's Answer #780982 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "I think the other tutor misinterpreted the question because it was presented poorly. \n" ); document.write( "I think the problem is to find cos(theta) if sin(theta) = 3/4 AND theta is between pi/2 and pi. \n" ); document.write( "theta between pi/2 and pi means 2nd quadrant, where cosine is negative. \n" ); document.write( "Then sin^2+cos^2=1 gives us |cos(theta)| = sqrt(7)/4; and since cosine is negative in quadrant II.... \n" ); document.write( "ANSWER: cos(theta) = -sqrt(7)/4 \n" ); document.write( " \n" ); document.write( " |