If sqrt(2)cos A = cos B + cos^(3)B, and ...

If `sqrt(2)cos A = cos B + cos^(3)B`, and `sqrt(2)sin A = sin B- sin^(3)B` then `sin(A-B)=`

A

`+- 1`

B

`+- (1)/(2)`

C

`+- (1)/(3)`

D

`+- (1)/(4)`

Verified by Experts

The correct Answer is:

C

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