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 704: 53


$\{\frac{\pi}{4},\pi,\frac{5\pi}{4} \}$

Work Step by Step

Step 1. The equation gives two solutions: $tan(x)=1$ and $cos(x)=-1$ Step 2. For $tan(x)=1$, we have the reference angle as $x=\frac{\pi}{4}$ and we can find all x-values in $[0,2\pi)$ as $x=\frac{\pi}{4},\frac{5\pi}{4}$ Step 3. For $cos(x)=-1$, we can find all x-values in $[0,2\pi)$ as $x=\pi$ Step 4. The solutions for the original equation in $[0,2\pi)$ are $\{\frac{\pi}{4},\pi,\frac{5\pi}{4} \}$
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