Prove that : cosx^4- cosx^2 = sin^4, - sin^2

1.	Prove that : cosx^4- cosx^2 = sin^4, - sin^2
Answer» Answer: Proved Step-by-step EXPLANATION: (cos²x)² - cos²x As sin²x + cos²x = 1, ⇒ (1-sin²x)² - (1 - sin²x) ⇒ 1 - 2sin²x + (sin²x)² - 1 + sin²x ⇒ $sin^{4} x - sin^{2} x$ HENCE Proved. Hoping that I have not made any MISTAKES, You're welcome. Hope you have FOUND my answer USEFUL. If my answer deserves a brainliest, do mark it. GeniusH

Answer»

Answer:

Proved

Step-by-step EXPLANATION:

(cos²x)² - cos²x

As sin²x + cos²x = 1,

⇒ (1-sin²x)² - (1 - sin²x)

⇒ 1 - 2sin²x + (sin²x)² - 1 + sin²x

⇒ $sin^{4} x - sin^{2} x$

HENCE Proved.

Hoping that I have not made any MISTAKES, You're welcome.

Hope you have FOUND my answer USEFUL. If my answer deserves a brainliest, do mark it.

GeniusH

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Prove that : cosx^4- cosx^2 = sin^4, - sin^2​

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Prove that : cosx^4- cosx^2 = sin^4, - sin^2