Answer
$\sec$ 60$^{\circ}$ $\gt$ $\sec$ 30$^{\circ}$ is true
Work Step by Step
$\sec$ 60 > $\sec$ 30
From 0$^{\circ}$ to 90$^{\circ}$, as the angle increases, the $secant$ of the angle increases.
Therefore: $\sec$ 60$^{\circ}$ $\gt$ $\sec$ 30$^{\circ}$ is true.