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 280: 19

Answer

$x=arcsin(\frac{y+4}{2})$

Work Step by Step

$y=2sinx-4$ $y+4=2sinx$ Divide both sides by 2. $sinx=\frac{y+4}{2}$ Apply definition of arcsine. $x=arcsin(\frac{y+4}{2})$ Hence, $x=arcsin(\frac{y+4}{2})$
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