Question #c60c5

Apr 7, 2017

$\left\{\theta | \theta \ne k \pi \text{, for " k " an integer}\right\}$

Explanation:

Note that

$\cot \theta = \cos \frac{\theta}{\sin} \theta$ and

$\csc \theta = \frac{1}{\sin} \theta$.

Therefore, $\theta$ cannot have any value that makes $\sin \theta = 0$.

So $\theta$ cannot be an integer multiple of $\pi$

$\theta$ can have any other value

So the domain is $\left\{\theta | \theta \ne k \pi \text{, for " k " an integer}\right\}$