Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.4 Equations Involving Inverse Trigonometric Functions - 6.4 Exercises - Page 285: 10



Work Step by Step

$y=3sin\frac{x}{2}$ Need to solve $x$ in order to find this divide the above equation by 3 both sides. $sin\frac{x}{2}=\frac{y}{3}$ Apply definition of arcsine. $\frac{x}{2}=arcsin(\frac{y}{3})$ $x=2arcsin(\frac{y}{3})$
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