Answer
$\sqrt3+2$
Work Step by Step
Using the given formula and the known values: $\tan (75^\circ)=\frac{\tan 120^\circ-\tan 45^\circ}{1+\tan 120^\circ\tan 45}=\frac{-\sqrt3-1}{1-(-\sqrt3)1}=\sqrt3+2$
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 - Chapter Review - Page 968: 27
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