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: 31

Answer

$\pi-3$

Work Step by Step

Given: $2arccos(\frac{y-\pi}{3})=2\pi$ $arccos(\frac{y-\pi}{3})=\pi$ $(\frac{y-\pi}{3})=cos(\pi)$ $(\frac{y-\pi}{3})=-1$ $({y-\pi})=-3$ Hence, $y=\pi-3$
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