Verify the Identity cos(x)cos(y)=1/2(sin(x+y)+sin(x-y))

$\cos (x) \cos (y) = \frac{1}{2} (\sin (x + y) + \sin (x - y))$

The provided equation is not an identity.

$\cos (x) \cos (y) = \frac{1}{2} \cdot (\sin (x + y) + \sin (x - y))$ is not an identity

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