Answer
$2+\sqrt3$
Work Step by Step
Using the given formula and the known values: $\tan (5\pi/12)=\frac{\tan(\pi/4)-\tan (\pi/6)}{1+\tan(\pi/4)\tan (\pi/6)}=\frac{1-\frac{1}{\sqrt3}}{1-1\frac{1}{\sqrt3}}=2+\sqrt3$
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 - Chapter Test - Page 969: 21
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