Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.2 - Trigonometric Functions of Real Numbers - 5.2 Exercises - Page 418: 78

Answer

The function is even.

Work Step by Step

$f(-x) = \cos{(\sin{(-x)})}$ $\because \sin{(-x)} = -\sin{(-x)} $ $\therefore f(-x) = \cos{(-\sin{x})}$ $\because \cos{(-\theta)} = \cos{\theta}$ $\therefore f(-x) = \cos{(\sin{x})} = f(x)$ The function is even.
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