Answer
$-0.34$
Work Step by Step
Note that $\csc {x}=\frac{1}{\sin{(x)}}$.
Hence, $\csc^{-1}{x}=\sin^{-1} {\left(\frac{1}{x}\right)}$.
Use a calculator in radian mode and round the result to decimal places to obtain
$\csc^{-1}{(-3)}=\sin^{-1} {\left(\frac{1}{-3}\right)}\approx-0.34$
