Q.98 - Precalculus Enhanced with Graphing Utilities

Question

For what values of $\theta$ is $f\left(\theta \right)=\cot \left(\theta \right)$ is not define

Step-by-Step Solution

Answer

The function does not exist for integral multiples of $\pi$

Step 1: Given information

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

Step 2: Explanation

We have,

$f\left(\theta \right)=\frac{\cos \left(\theta \right)}{\sin \left(\theta \right)}$

The function does not exist when $\sin \theta =0$

And $\sin \theta =0$ when $\theta =\frac{n\pi }{2}$

Hence the function does not exist when theta is integral multiple of pi