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Question

sin2nθsin2(n1)θ=sin2θ, where n is constant and n0,1

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Solution

LHS=sin2nθsin2(n1)θ=sin[n(n1)]θ.sin[n+(n1)]θ=sinθ.sin[2n1]θsin2θ=sinθ.sin[2n1]θsinθ=sin[2n1]θn=12

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