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: 4



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: $$\frac{1}{\sin \left(\frac{5\pi }{4}\right)} \\ \frac{1}{-\frac{\sqrt{2}}{2}} \\ -\sqrt{2}$$
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