Answer
$ \frac{\sqrt {2+\sqrt 2}}{2}$
Work Step by Step
$sin\frac{5\pi}{8}=sin\frac{5\pi/4}{2}=\sqrt {\frac{1-cos5\pi/4}{2}}
==\sqrt {\frac{1+\sqrt 2/2}{2}}=\frac{\sqrt {2+\sqrt 2}}{2}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Chapter Review - Review Exercises - Page 528: 52
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