Answer
$1$
Work Step by Step
Given: $4\pi+4tan^{-1}(x)=\pi$
$4tan^{-1}(x)=-3 \pi$
$tan^{-1}(x)=(-\frac{3 \pi}{4})$ (Divide by 4)
$x=tan(-\frac{3 \pi}{4})$
Apply definition of arctangent.
$x=1$
Hence, $x=1$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 28
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