Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 5 - Trigonometric Identities - Section 5.1 Fundamental Identities - 5.1 Exercises - Page 194: 24

Answer

$f(x)=\sin x$ is an even function.

Work Step by Step

$$f(x)=\cos x$$ As we work out in exercise 23, $$\cos(-x)=\cos x$$ Therefore, $$f(-x)=\cos(-x)=\cos x=f(x)$$ According to the definition given, $f(x)=\sin x$ is an even function.
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