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Prove that sin^(2)alpha + cos^(2) (alpha...

Prove that `sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin beta cos (alpha + beta)` is independent of `alpha`.

A

`sin^(2) alpha `

B

`sin^(2) beta `

C

`cos^(2) alpha `

D

`cos^(2) beta `

Text Solution

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The correct Answer is:
D
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