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Question

If α and β are complementary angle such that qsinα = P , then find the value of (sinαcosβcosαsinβ)

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Solution

α,β are complimentary angles.
α+β=90
sinα=pq=cosβ
cosα=q2p2q=sinβ
(sinαcosβcosαsinβ)=(p2q2q2p2q2)
=2(p2q2)1





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