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 - 14.6 Exercises - Skill Practice - Page 952: 10



Work Step by Step

Using the given formula and the known values: $\sin(-\frac{7\pi}{12})=\sin(-\pi/3)\cos(-\pi/4)+\cos(-\pi/3)\sin(-\pi/4)=-\frac{\sqrt3}{2}\frac{1}{\sqrt2}+\frac{1}{2}(-\frac{1}{\sqrt2})=-\frac{1+\sqrt3}{2\sqrt2}$
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