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 - Chapter Test - Page 969: 19

Answer

$-\frac{1+\sqrt3}{2\sqrt2}$

Work Step by Step

Using the given formula and the known values: $\sin255^\circ=\sin210^\circ\cos45^\circ+\sin45^\circ\cos210^\circ=\frac{1}{2}\frac{1}{\sqrt2}+\frac{1}{\sqrt2}(-\frac{\sqrt3}{2})=-\frac{1+\sqrt3}{2\sqrt2}$
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