Answer
$x=-\frac{\sqrt 3}{ 2}$
Work Step by Step
Given: $6$ $arccos$ $x=5\pi$
$arccosx=\frac{5\pi}{6}$ (Divide by 6)
Apply definition of arccosine.
$x=cos(\frac{5\pi}{6})$
Hence, $x=-\frac{\sqrt 3}{ 2}$
Trigonometry (11th Edition) Clone
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 28
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