Answer
$\csc 14.15^{\circ}$ = 4.0906
Work Step by Step
Using calculator in degree mode-
$\csc 14.15^{\circ}$ =4.0906271588
(Finding $\sin$ first and then using reciprocal $\frac{1}{x}$)
Rounding it to four places past the decimal point-
$\csc 14.15^{\circ}$ = 4.0906