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 - Guided Practice for Examples 1, 2, and 3 - Page 956: 2

Answer

$\frac{\sqrt{2+\sqrt2}}{2}$

Work Step by Step

Using the given identities and the known values: $\sin (5\pi/8)=\pm\sqrt{\frac{1-\cos(5\pi/4)}{2}}=\sqrt{\frac{1-(\frac{1}{\sqrt2})}{2}}=\frac{\sqrt{2+\sqrt2}}{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.