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: 84



Work Step by Step

Step 1. Using the identity $sec^2x=1+tan^2x$, rewrite the equation as $sec(x)=tan(x)-1$ and take the square on both sides to get $sec^2x=1+tan^2x-2tan(x)$; thus we have $tan(x)=0$ Step 2. For $tan(x)=0$, we can find all x-values in $[0,2\pi)$ as $x=0,\pi$ Step 3. Checking the above with the original equation, we can find $x=\pi$ as the only answer.
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