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If sin x + sin y = a and cos x + cos y =...

If `sin x + sin y = a` and `cos x + cos y = b`, what is sin `x.sin y + cos x .cos y `equal to ?

A

`a + b - ab `

B

`a + b + ab `

C

`a^2 + b^2 – 2`

D

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

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