Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.5 - Trigonometric Equations - Exercise Set - Page 703: 13

Answer

The solutions of the equation is $x=\frac{\pi }{4}+n\pi $, where n is any integer.

Work Step by Step

The x in $\tan x=1$. Because $\tan \frac{\pi }{4}=1$, and the solution of $\tan x=1$ in [0, $\pi $ ) is: $x=\frac{\pi }{4}$ The period of the tangent function is $\pi $, and the solutions are given by: $x=\frac{\pi }{4}+n\pi $, where n is any integer
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