Chapter 7 - Trigonometric Identities and Equations - 7.7 Equations Involving Inverse Trigonometric Functions - 7.7 Exercises - Page 728: 8

$x=\arcsin(4y)$

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)