Answer
$\frac{\sqrt3+1}{2\sqrt2}$
Work Step by Step
Using the given formula and the known values: $\cos \pi/12=\cos3\pi/12\cos2\pi/12+\sin3\pi/12\sin2\pi/12=\frac{1}{\sqrt2}\frac{\sqrt3}{2}+\frac{1}{\sqrt2}\frac{1}{2}=\frac{\sqrt3+1}{2\sqrt2}$
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 - 14.6 Apply Sum and Difference Formulas - Guided Practice for Examples 1 and 2 - Page 950: 4
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