Precalculus (6th Edition)

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

Chapter 7 - Trigonometric Identities and Equations - 7.7 Equations Involving Inverse Trigonometric Functions - 7.7 Exercises - Page 728: 1

Answer

C

Work Step by Step

Use the definitions of circular functions. A. x is a number from $(-\displaystyle \frac{\pi}{2}, \displaystyle \frac{\pi}{2})$, for which $\tan x=1.$ Since $\tan 0=0\neq 1,$ zero is not the solution ($x\neq 0)$ B. x is a number from $[0, \pi]$ for which $\cos x=0$ Since $\cos 0=1\neq$0, zero is not the solution ($x\neq 0)$ $C. $x is a number from $[-\displaystyle \frac{\pi}{2}, \displaystyle \frac{\pi}{2}]$ for which $\sin x=0$ Since $\sin 0=0$, 0 is the solution
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