Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 5 - Trigonometric Identities - Section 5.1 Fundamental Identities - 5.1 Exercises - Page 200: 26

Answer

$f(-x)=-f(x)$; the function is odd.

Work Step by Step

$f(x)=x\cos x$ $f(-x)=(-x)\cos(-x)= (-x)\cos x$ $=-x\cos x=-f(x)$ As $f(-x)=-f(x)$, the function is odd.
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