SOLUTION: How do I solve for x when cos^2 x = sin x?

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Question 230618: How do I solve for x when cos^2 x = sin x?
Answer by scott8148(6628) About Me  (Show Source):
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using the trig identity cos^2 + sin^2 = 1 ___ so cos^2 = 1 - sin^2

substituting ___ 1 - sin^2 x = sin x ___ 0 = sin^2 x + sin x - 1

using quadratic formula __ sin x = (-1 ± √5) / 2