Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.7 Equations Involving Inverse Trigonometric Functions - 7.7 Exercises: 8

Answer

$x=\arcsin(4y)$

Work Step by Step

The goal is to isolate x. Multiply with 4 ... $4y=\sin x$ $\qquad$ ...use the definition of arcsin $\arcsin 4y=x$ (4y is the number from $[-\displaystyle \frac{\pi}{2}, \displaystyle \frac{\pi}{2}]$ such that $\sin x$=4y)
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