Answer
$\frac{\pi}{6}$
Work Step by Step
$\sec^{-1}{\frac{2\sqrt3}{3}}=\frac{\pi}{6}$, because $\sec{\frac{\pi}{6}}=\frac{2\sqrt3}{3}$ and $\frac{\pi}{6}$ is in the range of $\sec^{-1}{x}$, which is $[0,\pi]$ \ $\left\{\frac{\pi}{2}\right\}.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - 7.2 The Inverse Trigonometric Functions (Continued) - 7.2 Assess Your Understanding - Page 458: 41
Update this answer!
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.
