If sin (theta + alpha) = a and sin (thet...

If `sin (theta + alpha) = a and sin (theta +beta)=b`, then `cos 2 (alpha- beta) -4ab cos (alpha- beta)` is equal to

A

`1- a^(2)-b^(2)`

B

`1- 2a^(2)-2b^(2)`

C

`2+ a^(2) +b^(2)`

D

`2-a^(2)- b^(2)`

Verified by Experts

The correct Answer is:

B

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