How do I factor this?
cos^4x - sin^4x
2 answers:
Answer: https://socratic.org/questions/how-do-you-simplify-cos-4x-sin-4x#618537
Answer:
Step-by-step explanation:
FYI,
a² - b² = (a + b)(a - b)
f(x) = 
- 
= (cos²x + sin²x)(cos²x - sin²x) =
= <em>(cos²x + sin²x)(cos x + sin x)(cos x - sin x)</em>
If you need to simplify, then
f(x) = 1 × (cos²x - sin²x) = <em>cos(2x)</em>
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