Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.3 Sum and Difference Identities - 7.3 Exercises - Page 679: 20

Answer

$-1$

Work Step by Step

$\cos \dfrac {7\pi }{9}\cos \dfrac {2\pi }{9}-\sin \dfrac {7\pi }{9}\sin \dfrac {2\pi }{9}=\cos \left( \dfrac {7\pi }{9}+\dfrac {2\pi }{9}\right) =\cos \pi =-1$
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