Final answer:
The reciprocal of sec(θ) is cos(θ).
Step-by-step explanation:
In mathematics, the reciprocal of a number is the result of dividing 1 by the number. Therefore, the reciprocal of the secant function, sec(θ), would be 1 / sec(θ).
Since sec(θ) is equal to 1 / cos(θ), we can rewrite the reciprocal as cos(θ) / 1. So, the reciprocal of sec(θ) is cos(θ).
For example, if sec(θ) is 2, then the reciprocal is cos(θ) = 1 / 2.