# How do you find a vertical asymptote for y = cot(x)?

The vertical asymptotes for $y = \cot x = \frac{\cos x}{\sin x}$ are of the form:
$x = n \pi$, where $n$ is any integer
since the denominator $\sin x = 0$ when $x = 0 , \pm \pi , \pm 2 \pi , \ldots$.