Answer
$\frac{1}{\sec 14.8}$ $\approx$ 0.96682338
Work Step by Step
$\frac{1}{\sec 14.8}$
$\frac{1}{\sec\theta}$ = $cos$ $\theta$
Therefore:
$\frac{1}{\sec 14.8}$ = $cos$ 14.8$^{\circ}$
$cos$ 14.8$^{\circ}$ $\approx$ 0.96682338
Therefore:
$\frac{1}{\sec 14.8}$ $\approx$ 0.96682338