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 - Skill Practice - Page 960: 29


$\dfrac{\sqrt {2-\sqrt 2}}{2}$

Work Step by Step

Write the correct identity such as: $\sin (a/2)=\sqrt {\dfrac{1-\cos a}{2}}$ Plug the data into the above equation. $\sqrt {\dfrac{1-\cos (45)}{2}}=\sqrt {\dfrac{1-(\sqrt 2/2)}{2}}$ or, $=\sqrt {\dfrac{2-\sqrt 2}{4}}$ or, $=\dfrac{\sqrt {2-\sqrt 2}}{2}$
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