Answer
$$ - 1.008$$
Work Step by Step
$$\eqalign{
& \csc 4.8386 \cr
& {\text{Use the reciprocal identity }}\csc \theta = \frac{1}{{\sin \theta }} \cr
& \csc 4.8386 = \frac{1}{{\sin 4.8386}} \cr
& {\text{Using a calculator into radian mode we obtain}} \cr
& \csc 4.8386 \approx \frac{1}{{ - 0.992045}} \cr
& \csc 4.8386 \approx - 1.008 \cr} $$