Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.6 Exercises - Page 372: 33

Answer

$x=\frac{sin\left(\frac{1}{2}\right)+\pi}{3}$

Work Step by Step

$\arcsin(3x-\pi)=\frac{1}{2}$ $\sin(\arcsin(3x-\pi))=sin(\frac{1}{2})$ $3x-\pi=sin(\frac{1}{2})$ $3x=sin(\frac{1}{2})+\pi$ $x=\frac{sin\left(\frac{1}{2}\right)+\pi}{3}$
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