Question

Cos2x + sin^2x =

A. 1 - sin^2x
B. 1
C. 3sin^2x - 1

Answer 1

`\cos(2x) + {sin}^(2)(x) =`

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`\cos(2x) = {cos}^(2)(x) - {sin}^(2)(x)`

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`{cos}^(2)(x) - {sin}^(2)(x) + {sin}^(2)(x) = \\`

`{cos}^(2)(x) = 1 - {sin}^(2)(x)`

Thus the correct answer is (( A )) .

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Answer 2

cos2x + sin^2x =1-2sin²x+sin²x=1-sin²x

so

your answer is:A. 1 - sin^2x