Solution
Expression : $$\frac{\cos x+cos y}{sinx + siny}$$
= $$\frac{cos(\frac{x+y}{2})cos(\frac{x-y}{2})}{sin(\frac{x+y}{2})cos(\frac{x-y}{2})}$$
= $$\frac{cos(\frac{x+y}{2})}{sin(\frac{x+y}{2})}$$
= $$cot(\frac{x+y}{2})$$
=> Ans - (D)
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