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If sin A + cos B = a and sin B + cos A =...

If sin A + cos B = a and sin B + cos A = b, then sin (A + B) is equal to

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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