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15 April, 06:58

Write sin^2 (x) * cos^2 (x) as a single power of cosine, show work

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  1. 15 April, 07:21
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    This is what you're looking for if I'm not mistaken

    sin²x + cos²x = 1

    So:

    sin²x = 1 - cos²x

    ∴ sin²x * cos²x = (1 - cos²x) * cos²x

    = cos²x. (1 - cos²x)

    ( = cos²x - cos⁴x)
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