Answer
See explanations.
Work Step by Step
Given a cotangent function, we can find one asymptote $x=a$ when the function is undefined. The next asymptote will be $x=a+p$ or $x=a-p$ where $p$ is the period of the function.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.