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Galina-37 [17]
2 years ago
7

How do I factor this? cos^4x - sin^4x

Mathematics
2 answers:
padilas [110]2 years ago
6 0

Answer: https://socratic.org/questions/how-do-you-simplify-cos-4x-sin-4x#618537

IgorLugansk [536]2 years ago
4 0

Answer:

Step-by-step explanation:

FYI,

a² - b² = (a + b)(a - b)

f(x) = cos^{4} x - sin^{4} 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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