Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.7 Apply Double-Angle and Half-Angle Formulas - 14.7 Exercises - Quiz for Lessons 14.6-14.7 - Page 962: 2



Work Step by Step

Using the given identities and the known values: $\sin (-22.5^\circ)=\pm\sqrt{\frac{1-\cos(-45^\circ)}{2}}=-\sqrt{\frac{1-(\frac{1}{\sqrt2})}{2}}=-\frac{\sqrt{2-\sqrt2}}{2}$
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