Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - 7.5 - Multiple-Angle and Product-to-Sum Formulas - 7.5 Exercises - Page 549: 76


False. $sin\frac{u}{2}=+\sqrt {\frac{1-cos~u}{2}}$

Work Step by Step

If $u$ is in the second quadrant: $\frac{\pi}{2}\lt u\lt\pi$. Then, $\frac{\pi}{4}\lt \frac{u}{2}\lt\frac{\pi}{2}$. That is $u$ is in the first quadrant. So, $sin\frac{u}{2}\gt0$
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