Answer
$\theta = 0.54~radians$
Work Step by Step
$\theta = tan^{-1}(\frac{4}{x})-tan^{-1}(\frac{1}{x})$
We can find $\theta$ when $x = 4$:
$\theta = tan^{-1}(\frac{4}{4})-tan^{-1}(\frac{1}{4})$
$\theta = 0.7854-0.2450$
$\theta = 0.54~radians$
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 282: 52c(i)
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