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 - 14.6 Apply Sum and Difference Formulas - Guided Practice for Examples 1 and 2 - Page 950: 1

Answer

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

Work Step by Step

Using the given formula and the known values: $\sin105^\circ=\sin60^\circ\cos45^\circ+\sin45^\circ\cos60^\circ=\frac{\sqrt3}{2}\frac{1}{\sqrt2}+\frac{1}{\sqrt2}\frac{1}{2}=\frac{1+\sqrt3}{2\sqrt2}$
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