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: 8

Answer

$2+\sqrt3$

Work Step by Step

Using the given formula and the known values: $\tan 17\pi/12=\frac{\tan 7\pi/6+\tan \pi/4}{1-\tan 7\pi/6\tan \pi/4}=\frac{\frac{1}{\sqrt3}+1}{1-\frac{1}{\sqrt3}\cdot1}=2+\sqrt3$
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