#### 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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Published by
McDougal Littell

ISBN 10:
0618595414

ISBN 13:
978-0-61859-541-9

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

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