adrianthegreat8
adrianthegreat8 adrianthegreat8
  • 24-05-2018
  • Mathematics
contestada

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

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Abu99
Abu99 Abu99
  • 24-05-2018
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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