Prove that 3sin^−1x=sin^−1(3x−4x^3),x∈[−1/2,1/2].

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asked Jan 13, 2018 in Mathematics by sforrest072 (157,439 points) 63 449 1291
edited Mar 6, 2018 by faiz

Prove that 3sin−1x=sin−1(3x−4x3),x∈[−1/2,1/2].

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answered Jan 13, 2018 by mdsamim (213,225 points) 5 10 23
selected Jan 13, 2018 by sforrest072
 
Best answer

 =sin-1(sin3θ)=3θ=3sin-1x
= LHS

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