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Question

If α,β,γ are in A.P, Then cotβ=sinαsinγcosγcosα.

A
True
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B
False
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Solution

The correct option is A True
α,β,γ are in A.P.
α+γ=2ββ=α+γ2cotβ=cotα+γ2=cosα+γ2sinα+γ2=2sinαγ2cosα+γ22sinαγ2sinα+γ2=sinαsinγcosγcosαcotβ=sinαsinγcosγcosα

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