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Question

Prove that : 3 sin1x=sin1(3x4x3), x ϵ[12,12]

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Solution

Let us assume that x=sin θθ=sin1x
R.H.S. = sin1(3x4x3) = sin1(3sin θ4sin3θ)
= sin1(sin 3θ)=3θ
= 3 sin1x = L.H.S

Hence proved.

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