Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.4 Equations Involving Inverse Trigonometric Functions - 6.4 Exercises - Page 279: 12

Answer

$x=3$ $arcsin(-y)$

Work Step by Step

$y=-sin\frac{x}{3}$ Need to solve $x$ in order to find this multiply the above equation by -1 both sides. $-y=sin\frac{x}{3}$ Apply definition of arcsine. $\frac{x}{3}=arcsin(-y)$ $x=3$ $arcsin(-y)$
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