Answer
0.30, 2.84, $2\pi$, $0.30+2k\pi$, $2.84+2k\pi$
Work Step by Step
We can find the solutions of $\sin x=0.3$ algebraically.
First we find the solutions in the interval $[0, 2\pi)$. We get one such solution by taking $\sin^{-1}$ to get $x\approx 0.30$. The other solution in this interval is $x\approx 2.84$.
We find all solutions by adding multiples of $2\pi$ to the solutions in $[0, 2\pi)$. The solutions are $0.30+2k\pi$ and $2.84+2k\pi$.