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: 25

Answer

$-\frac{\sqrt 2}{2}$

Work Step by Step

Given: $-4arcsinx=\pi$ $arcsinx=-\frac{\pi}{4}$ (Divide by -4) Apply definition of arcsine. $x=sin(-\frac{\pi}{4})$ $x=-\frac{1}{\sqrt 2}$ Rationalize the denominator. $x=-\frac{1}{\sqrt 2}\times=-\frac{\sqrt 2}{2}$
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.