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If (sinA+sinB=a) and (cosA+cosB=b) then ...

If `(sinA+sinB=a)` and `(cosA+cosB=b)` then the value of `cos(A+B)` is equal to

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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