Answer
0.34, 2.80
Work Step by Step
$3\sin\theta-1=0$
$3\sin\theta=1$
$\sin\theta=\frac{1}{3}$
Since sine is positive in the first and second quadrants, the only solutions in the interval $[0, 2\pi)$ are $\theta=\sin^{-1}\frac{1}{3}\approx 0.34$ and $\theta=\pi-\sin^{-1}\frac{1}{3}\approx 2.80$.
