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

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asked Nov 2, 2019 56.9k views

1 Answer

Mark Keane · Answer 1 · 2019-11-08T17:52:21+0000

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)

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

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