Let y = f(x), f : R ->R be an odd differ...

Let y = f(x), `f : R ->R` be an odd differentiable function such that `f'''(x)>0` and `g(alpha,beta)=sin^8alpha+cos^8beta+2-4sin^2alpha cos^2 beta` If `f''(g(alpha, beta))=0` then `sin^2alpha+sin^2beta` is equal to

A

0

B

1

C

2

D

3

Verified by Experts

The correct Answer is:

B

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