Answer
$ \frac{\pi}{3}$
Work Step by Step
$tan^{-1}tan(-\frac{2\pi}{3})=tan^{-1}(-tan(\frac{2\pi}{3}))=tan^{-1}tan(\frac{\pi}{3})=\frac{\pi}{3}$
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.