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: 18


$$\ x=0.34 ,\:x=\pi -0.34 $$

Work Step by Step

Solving the equation using inverse trigonometric functions, we find: $$3\sin \left(x\right)=1,\:0\le \:x\le \:2\pi \\ \sin \left(x\right)=\frac{1}{3} \\ x=\arcsin \left(\frac{1}{3}\right),\:x=\pi -\arcsin \left(\frac{1}{3}\right) \\ x=0.34 ,\:x=\pi -0.34 $$
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