How to find vertical asymptotes of cotangent function?

Vertical asypmtotes are line of the form , where k is a point not in the domain of the function.

Since the definition of the cotangent function is

The function is not defined where the denominator is zero, i.e.

So, every line with equation is a vertical asymptote for the cotangent function. Some examples may be

step-by-step explanation:

stops on an even number.