Answer
$\csc$ 20$^{\circ}$ $\lt$ $\csc$ 30$^{\circ}$ is false
Work Step by Step
$\csc$ 20$^{\circ}$ $\lt$ $\csc$ 30$^{\circ}$
As the angle increases from 0 to 90, the cosecant of the angle decreases.
Therefore: $\csc$ 20$^{\circ}$ $\lt$ $\csc$ 30$^{\circ}$ is false
