Question

find the indicated function value. if it is undefined, say so. sec 0° select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. sec 0° = (simplify your answer, including any radicals. use integers or fractions for any numbers in the expression.) b. the function is undefined.

Explanation:

Step1: Recall the definition of secant

The secant function is defined as the reciprocal of the cosine function, so $\sec\theta = \frac{1}{\cos\theta}$.

Step2: Find the value of $\cos 0^\circ$

We know from the unit circle or trigonometric ratios that $\cos 0^\circ = 1$.

Step3: Calculate $\sec 0^\circ$

Using the definition of secant, substitute $\cos 0^\circ = 1$ into $\sec\theta = \frac{1}{\cos\theta}$. So $\sec 0^\circ = \frac{1}{\cos 0^\circ} = \frac{1}{1} = 1$.

Answer:

A. $\sec 0^\circ = \boxed{1}$