Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 7 - Trigonometry and Periodic Functions - 7.7 Trigonometric Relationships and Identities - Exercises and Problems for Section 7.7 - Exercises and Problems - Page 309: 5

Answer

$$-\frac{\sqrt{3}}{3}$$

Work Step by Step

To evaluate trigonometric functions without a calculator, it is necessary to use the unit circle. Doing this, we find that the function evaluates to: $$\frac{1}{\tan \left(\frac{5\pi }{3}\right)} \\ \frac{1}{-\sqrt{3}}\\ -\frac{\sqrt{3}}{3}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.