Question

Let α, β be such that p < α - β < 3π. If sinα + sinβ = $-\frac{21}{65}$ and cos α + cos β = $-\frac{27}{65}$, then the value of $\cos\frac{\alpha-\beta}{2}$
(a) $\frac{-6}{65}$
(b) $\frac{3}{\sqrt{130}}$
(c) $\frac{6}{65}$
(d) $\frac{3}{\sqrt{130}}$

Answer 1

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