Answer
$\csc 575.4^{\circ}$ = -1.7263
Work Step by Step
Using calculator in degree mode-
575.4 → $\sin$ → $\frac{1}{x}$ (Recall $\csc\theta$ = $\frac{1}{\sin\theta}$)
$\csc 575.4^{\circ}$ = -1.7262774068
Rounding it to four places past the decimal point-
$\csc 575.4^{\circ}$ = -1.7263