1. If sin x + sin²x = 1, then the value of
cos2x + cos*x is
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Answer:
sin²x + cos²x = 1, so cos²x = 1 - sin²x = 1 - (1 - sinx) = sin x, and cos^4x = sin²x.
So cos²x + cos^4x = sin x + sin²x = 1.
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