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 - Chapter Review - Page 968: 33

Answer

$\frac{1+\sqrt{3}}{2\sqrt2}$

Work Step by Step

Using the given identities and the known values: $\cos (\pi/12)=\pm\sqrt{\frac{1+\cos(\pi/6)}{2}}=\sqrt{\frac{1+(\frac{\sqrt3}{2})}{2}}=\frac{1+\sqrt{3}}{2\sqrt2}$
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