document.write( "Question 515393: In which quadrant(s) does sin θ= square root of (1-cos^2 θ) \n" ); document.write( "

Algebra.Com's Answer #343948 by drcole(72) $\"\"$ $\"About$

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If $\"sin+%28theta%29+=+sqrt%281+-+cos%5E2+%28theta%29%29\"$ , then $\"sin+%28theta%29\"$ is non-negative, since we always assume that a square root in an equation is the non-negative root. Since the sine of $\"theta\"$ is non-negative, our angle, measured counterclockwise from the positive x-axis, must be above the x-axis, since the sine function measures our height on the unit circle (with positive values above the x-axis and negative values below). The quadrants above the x-axis are Quadrants I and II, so this is your answer. \n" ); document.write( "

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