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 - 14.6 Apply Sum and Difference Formulas - 14.6 Exercises - Skill Practice - Page 952: 5

Answer

$2-\sqrt3$

Work Step by Step

Using the given formula and the known values: $\tan (195^\circ)=\frac{\tan 135^\circ+\tan 60^\circ}{1-\tan 135^\circ\tan 60}=\frac{-1+\sqrt3}{1-(-1)\sqrt3}=2-\sqrt3$
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