Answer
$csc$(-80.1$^{\circ}$) $\approx$ 1.45541868
Work Step by Step
$\csc$(-317$^{\circ}$ 36')
First, convert from minutes to degrees
-317$^{\circ}$ 36' = -317$^{\circ}$ + $\frac{36}{60}$
-317$^{\circ}$ $\frac{36}{60}$ = -317$^{\circ}$ + 0.6$^{\circ}$
-317$^{\circ}$ $\frac{36}{60}$ = -317.6$^{\circ}$
$csc$(-80.1$^{\circ}$) $\approx$ 1.45541868