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Question

Simplify (cosαcosβ)2+(sinαsinβ)2 reduces to :

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Solution

(cosαcosβ)2+(sinαsinβ)2
cos2α+cos2β2cosαcosβ+sin2α+sin2β2sinαsinβ
22(sinαsinβ+cosαcosβ)
=2(1cos(αβ))

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