Answer
$\sqrt3-2$
Work Step by Step
Using the given formula and the known values: $\tan (-15^\circ)=\frac{\tan 45^\circ-\tan 60^\circ}{1+\tan 45^\circ\tan 60}=\frac{1-\sqrt3}{1+1\sqrt3}=\sqrt3-2$
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 - 14.6 Exercises - Skill Practice - Page 952: 3
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