Answer
$\sqrt2-1$
Work Step by Step
Using the given identities and the known values: $\tan (\pi/8)=\frac{1-\cos(\pi/4)}{\sin(\pi/4)}=\frac{1-\frac{1}{\sqrt2}}{\frac{1}{\sqrt2}}=\sqrt2-1$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.7 Apply Double-Angle and Half-Angle Formulas - Guided Practice for Examples 1, 2, and 3 - Page 956: 1
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