What is the domain of f(x)=tan xcot x?

$\pi \left(n + \frac{1}{2}\right) < x < \pi \left(n + 1\right)$
$\tan \left(x\right) \cdot \cot \left(x\right) = \tan \left(x\right) \cdot \frac{1}{\tan} \left(x\right) = 1$