Answer
$3.48,5.94$
Work Step by Step
Use a calculator, $csc\theta=-3 \Longrightarrow sin\theta=-\frac{1}{3} \Longrightarrow \theta=sin^{-1}(-\frac{1}{3})=\pi+|sin^{-1}(\frac{1}{3})|\approx3.48$ and $2\pi-|sin^{-1}(\frac{1}{3})|\approx5.94$ in $[0,2\pi)$.
