Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 7 - Trigonometry and Periodic Functions - Strengthen Your Understanding - Page 319: 2

Answer

False.

Work Step by Step

Cosine is an even function. Therefore, $f(-x)=f(x)$. This means that $f(-x)=\cos(-x)$ should equal $f(x)=\cos(x)$. Therefore, the statement $\cos(-x)=-\cos(x)$ is false.
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