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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

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The correct Answer is:
C
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