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 288: 55a


$t = \frac{3}{4\pi}~arcsin(3y)$

Work Step by Step

$y = \frac{1}{3}sin\frac{4\pi~t}{3}$ We can solve the equation for $t$: $sin\frac{4\pi~t}{3} = 3y$ $\frac{4\pi~t}{3} = arcsin(3y)$ $t = \frac{3}{4\pi}~arcsin(3y)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.