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 286: 27


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

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. $x=-\frac{1}{\sqrt 2}\times=-\frac{\sqrt 2}{2}$
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