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  4. 541Let α, β be such π < α - β < 3π. If sin α + sin β = -(21/65)and cos α + cos β-(27/65),then the value of cos(α-β/2) is

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Q. $ 541Let \alpha, \beta be such \pi < \alpha - \beta < 3\pi. If sin \alpha + sin \beta = -\frac{21}{65}and \,cos\, \alpha + cos \beta-\frac{27}{65},then the value of cos\frac{\alpha-\beta}{2} is $

Solution:

Correct answer is (a) $-\frac{3}{\sqrt{130}}$