SOLUTION: In which quadrant(s) does sin θ= square root of (1-cos^2 θ)

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Question 515393: In which quadrant(s) does sin θ= square root of (1-cos^2 θ)
Answer by drcole(72) About Me  (Show Source):
You can put this solution on YOUR website!
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.