1.

Prove that `sin(3sin^-1(1/3)) = 23/27`

Answer» LHS
`sin(3sin^(-1)(1/3))`
`Let sin^(-1)(1/2)=x`
`sin(3x)=3sinx-4sinn^3x`
`=3*1/3-4(1/3)^3`
`=1-4/27`
`=23/27`
RHS.


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