Answer
Rolle's Theorem cannot be applied.
Work Step by Step
$f(x)$ is not continuous over the closed interval. $f(x)$ has a vertical asymptote at $x=\pi$ and another vertical asymptote at $x=2\pi$ and hence Rolle's Theorem cannot be applied.
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.