Question

evaluate the following trigonometric function at the quadrantal angle, or state that the expression is undefined. sec 0 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the value of sec 0 is. b. sec 0 is undefined.

Explanation:

Step1: Recall the secant function definition

The secant function is defined as \(\sec\theta=\frac{1}{\cos\theta}\).

Step2: Evaluate \(\cos0\)

We know that \(\cos0 = 1\).

Step3: Calculate \(\sec0\)

Substitute \(\cos0 = 1\) into the formula \(\sec\theta=\frac{1}{\cos\theta}\), we get \(\sec0=\frac{1}{\cos0}=\frac{1}{1}\).

Answer:

A. The value of \(\sec0\) is \(1\)