Answer
$3.7890, 5.6358$
Work Step by Step
Step 1. Find the reference angle as $x=sin^{-1}(0.6031)\approx0.6474$
Step 2. For $sin(x)=-0.6031$, we have solutions in $[0,2\pi)$ as $x=\pi+0.6074\approx3.7890$ and $x=2\pi-0.6074\approx5.6358$
Step 3. Thus, we have all the solutions in $[0,2\pi)$ as $x=3.7890, 5.6358$
