Let α,β be such that π < (α - β) < 3π. If sin α + sin β = -2165 and cos α + cos β = -2765, then the value of \ cos α−β2

Let α,β be such that π < (α - β) < 3π. If sin α + sin β = -216

1.	Let α,β be such that π < (α - β) < 3π. If sin α + sin β = -2165 and cos α + cos β = -2765, then the value of \ cos α−β2
Answer» Let $α$ , $β$ be such that $π$ < ( $α$ - $β$ ) < 3 $π$ . If sin $α$ + sin $β$ = - $\frac{21}{65}$ and cos $α$ + cos $β$ = - $\frac{27}{65}$ , then the value of \ cos $\frac{α - β}{2}$

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Let α,β be such that π &lt; (α - β) &lt; 3π. If sin α + sin β = -2165 and cos α + cos β = -2765, then the value of \ cos α−β2

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Let α,β be such that π < (α - β) < 3π. If sin α + sin β = -2165 and cos α + cos β = -2765, then the value of \ cos α−β2