1.

Prove that cosα+cos(α+β)+cos(α+2β)+.....+cos(α+(n−1)β) =cos{α+n−12β}sin(nβ2)sinβ2 for all n ϵ N.

Answer»

Prove that cosα+cos(α+β)+cos(α+2β)+.....+cos(α+(n1)β)

=cos{α+n12β}sin(nβ2)sinβ2 for all n ϵ N.



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