if sinA +sinB=C and cosA+cosB=D and C ,...

if ` sinA +sinB=C` and `cosA+cosB=D` and `C , D!=0` then the value of `sin(A+B)` is equal to

A

CD

B

`(CD)/(C^(2) +D^(2))`

C

`(C^(2) +D^(2))/(2CD)`

D

`(2CD)/(C^(2) +D^(2))`

Verified by Experts

The correct Answer is:

D

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