Answer
$2+\sqrt3$
Work Step by Step
Using the given formula and the known values: $\tan 5\pi/12=\frac{\tan \pi/6+\tan \pi/4}{1-\tan \pi/6\tan \pi/4}=\frac{\frac{1}{\sqrt3}+1}{1-\frac{1}{\sqrt3}1}=2+\sqrt3$
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 - 14.6 Apply Sum and Difference Formulas - Guided Practice for Examples 1 and 2 - Page 950: 3
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