Algebra 2 (1st Edition)

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 - 14.7 Exercises - Quiz for Lessons 14.6-14.7 - Page 962: 3

Answer

$2-\sqrt3$

Work Step by Step

Using the given formula and the known values: $\tan (-345^\circ)=\frac{\tan 45^\circ-\tan 390^\circ}{1+\tan 45^\circ\tan 390}=\frac{1-\frac{1}{\sqrt3}}{1-1\frac{1}{\sqrt3}}=2-\sqrt3$
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