Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.3 - Double-Angle, Power-Reducing, and Half-Angle Formulas - Exercise Set - Page 682: 87

Answer

The formula in the words is: the sine of half an angle equals to plus or minus the square root of one minus the cosine of the angle $\alpha $, and the whole divided by two.

Work Step by Step

We stated in words the following: $\sin \frac{\alpha }{2}=\pm \sqrt{\frac{1-\cos \alpha }{2}}.$
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