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 (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 288: 54c(i)
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