document.write( "Question 42648: Find cosθ if sinθ = 3/5 and 90° < θ <180°.\r
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Algebra.Com's Answer #27827 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Let q be theta... \n" ); document.write( "Since sin^2 q + cos^2 q = 1, we know that \n" ); document.write( "cos^2 q = 1 - sin^2 q \n" ); document.write( "cos^2 q = 1 - (3/5)^2 \n" ); document.write( "cos^2 q = 1 - 9/25 = 16/25 and then \n" ); document.write( "cos q = 4/5 \n" ); document.write( "But in the 2nd quadrant, cos q is negative so the answer is \n" ); document.write( "-4/5 \n" ); document.write( " |