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: 20


$$x=0.15 ,\:x=\frac{\pi -0.305}{2},\:x=3.293 ,\:x=4.56 $$

Work Step by Step

Solving the equation using inverse trigonometric functions, we find: $$\sin \left(2x\right)=0.3,\:0\le \:x\le \:2\pi \\ x=\frac{\arcsin \left(0.3\right)+2\pi n}{2},\:x=\frac{\pi -\arcsin \left(0.3\right)+2\pi n}{2} \\ x=0.15 ,\:x=\frac{\pi -0.305}{2},\:x=3.293 ,\:x=4.56 $$
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