Question Details

If (sin x + sin y) = a and (cos x + cos y) = b, then find the value of (sin x sin y + cos x cos y).

Options

A

$\frac{a^{2} + b^{2} - 2}{2}$

B

$\frac{a^{2} + b^{2} + 2}{2}$

C

$\frac{a^{2} - b^{2} - 2}{2}$

D

$\frac{a^{2} - b^{2} + 2}{2}$

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