Math, asked by daudc2283, 11 months ago

Cos⁴ a - sin⁴a is equal to

Answers

Answered by silu12

3

Answer:

cos⁴A = (cos²A)²

sin⁴A = (sin²A)²

cos⁴A - sin⁴A = (cos²A)² - (sin²A)²

( Here we use a^2-b^2 formula)

= ( cos²A + sin²A) (cos²A - sin²A)

= (1)* (cos²A - (1 - cos²A)

= cos²A - 1 + cos²A

= 2 cos²A - 1

Hope it will help you ✌️

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