Prove that: `3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]`

1.	Prove that: `3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]`
Answer» Let `sin^(-1)x=theta` ` implies x =sin theta` RHS`=sin^(-1)(3x-4x^(3))` `=sin^(-1)(sin3theta)` `= 3 theta` `= 3 sin^(-1)x`= LHS. Hence Proved.

Discussion

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