Answer
$\frac{\sqrt{2+\sqrt3}}{2}$
Work Step by Step
Using the given identities and the known values: $\sin (75^\circ)=\pm\sqrt{\frac{1-\cos(150^\circ)}{2}}=\sqrt{\frac{1-(-\frac{\sqrt3}{2})}{2}}=\frac{\sqrt{2+\sqrt3}}{2}$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 14 Trigonometric Graphs, Identities, and Equations - Chapter Review - Page 968: 31
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