If sinA+sinB=C, cosA+cosB=D, then the va...

If `sinA+sinB=C, cosA+cosB=D`, then the value of `sin (A+B)=`

A

CD

B

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

C

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

D

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

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The correct Answer is:

D

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