Q.99 - Precalculus Enhanced with Graphing Utilities

Question

What values of $\theta$,$f\left(\theta \right)=sec\left(\theta \right)$ does not exist

Step-by-Step Solution

Answer

the value for the function does not exist when $\theta =\frac{(2n+1)\pi }{2}$

Step 1: Given information

We are given a function $f\left(\theta \right)=sec\left(\theta \right)$

Step 2: Explanation

We have,

$$\begin{gathered} f\left(\theta \right)=sec\left(\theta \right) \\ f\left(\theta \right)=\frac{1}{\cos \left(\theta \right)} \end{gathered}$$

The function does not exist when $$\begin{gathered} \cos \left(\theta \right)=0 \\ \theta =\frac{(2n+1)\pi }{2} \end{gathered}$$