Answer
$\pi $
Work Step by Step
Since $\sec\left(3\pi\right)=-1$, we have
$$\sec^{-1}\left(\sec\left(3\pi\right)\right)=\sec^{-1}\left(-1\right)=\pi.$$
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.