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

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

Chapter 9 - Trigonometric Identities, Models, and Complex Numbers - 9.1 Trigonometric Equations - Exercises and Problems for Section 9.1 - Exercises and Problems - Page 357: 29


$$θ=\frac{5\pi }{4}+2\pi n,\:θ=\frac{7\pi }{4}+2\pi n$$

Work Step by Step

Solving the equation using inverse trigonometric functions, we find: $$\sin \left(θ\right)=-\frac{\sqrt{2}}{2} \\ θ=\frac{5\pi }{4}+2\pi n,\:θ=\frac{7\pi }{4}+2\pi n$$
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