# How do you find the exact value of sin(sin^-1(0.3))?

$0.3$
Any value you get for ${\sin}^{- 1} \left(0.3\right)$ would be changed back to $0.3$ when you take the sin of it.
This is because $y = {\sin}^{- 1} x \equiv x = \sin y$, doing $\sin \left({\sin}^{- 1} \left(x\right)\right)$ works in the exact same way as $\ln \left({e}^{x}\right)$ or ${e}^{\ln} \left(x\right)$.