Precalculus (6th Edition) Blitzer

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

Chapter 5 - Test - Page 709: 17


$\{0,1.2310, \pi, 5.0522 \}$

Work Step by Step

Step 1. Rewrite the function as $tan(x)(sec(x)-3)=0$ Step 2. For $tan(x)=0$, we have $x=0, \pi$ Step 3. For $sec(x)=3$, we have $cos(x)=\frac{1}{3}$, which gives the reference angle $x_0=cos^{-1}(\frac{1}{3})\approx1.2310$ and solutions $x_1=x_0=1.2310$, $x_2=2\pi-x_0\approx5.0522$ Step 4. We have the solution set as $\{0,1.2310, \pi, 5.0522 \}$
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