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Question

Prove Sin³∅+cos³∅÷sin∅+ cos∅ + sin∅x cos∅ = 1

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Solution

L.H.S.=sin3ϕ+cos3ϕsinϕ+cosϕ+sinϕcosϕ =sinϕ+cosϕsin2ϕ+cos2ϕ-sinϕcosϕsinϕ+cosϕ+sinϕcosϕ =1-sinϕcosϕ+sinϕcosϕ =1 =R.H.S.Hence Proved.

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