Question

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

Short answer

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

Step-by-step solution

Given information

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

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