Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 5 - Section 5.3 - Double-Angle Formulas - 5.3 Problem Set - Page 297: 40

Answer

$\frac{1}{2\sqrt2}$

Work Step by Step

We know that $0.5\sin(2\theta)=\sin\theta\cos\theta$, hence here $\sin(\pi/8)\cos(\pi/8)=0.5\sin(\pi/4)=\frac{1}{2\sqrt2}$
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