Answer
$3.34, 6.08$.
Work Step by Step
After using a calculator in radian mode the solutions for $\sin^{-1}{-0.2}$ is $-0.20$ (given by the calculator).
The sine function has a period of $2\pi$, hence the first solution is $2\pi+(-0.2)\approx6.08$ and because the sine function is symmetric to $x=\frac{3\pi}{2}$ the second solution is: $\frac{3\pi}{2}+(\frac{3\pi}{2}-6.08)\approx3.34$.
