Answer
The reciprocal of sec of $t$ is equal to $\cos t$.
Work Step by Step
The reciprocal identities of the trigonometric functions state that:
Reciprocal of sec of $t$ $\left( \sec t \right)$ is equal to cosine of $t$ $\left( \cos t \right)$.
Here, $t$ belongs to real numbers.
Hence, the reciprocal of sec of $t$ is equal to $\cos t$.