Trigonometry (10th Edition)

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

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 258: 19

Answer

arctan$ 0=0$

Work Step by Step

lnverse Tangent Function $y=\tan^{-1}x$ or $y=$ arctan $x$ means that $x=\tan y$, for $-\displaystyle \frac{\pi}{2} < y < \frac{\pi}{2}$. ---------- In the interval$\quad -\displaystyle \frac{\pi}{2} < y < \frac{\pi}{2}$ , we find $y=0$ to be such that $\tan 0=0$. So, $y=\arctan 0=0$
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