Ask Question
25 March, 21:07

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

+3
Answers (1)
  1. 25 March, 21:21
    0
    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)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Write sin^2 (x) * cos^2 (x) as a single power of cosine, show work ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers