Answer
2
Work Step by Step
To find exact value of $\sec 300^{\circ}$, let's find its reference angle first. As $ 300^{\circ}$ terminates in quadrant IV,
The reference angle = $ 360^{\circ} - 300^{\circ}$ = $60^{\circ}$
As $ 300^{\circ}$ terminates in quadrant IV, its $\sec$ will be positive. Therefore by reference angle theorem-
$\sec 300^{\circ}$ = $\sec 60^{\circ}$
= 2
