Trigonometry (10th Edition)

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

Chapter 6 - Review Exercises - Page 284: 1

Answer

We can see a sketch of the three graphs below.

Work Step by Step

$y = arcsin ~x$ The domain is $[-1,1]$ The range is $[-\frac{\pi}{2},\frac{\pi}{2}]$ Three points on the graph are indicated: $(-1,-\frac{\pi}{2})$ $(0,0)$ $(1,\frac{\pi}{2})$ $y = arccos ~x$ The domain is $[-1,1]$ The range is $[0, \pi]$ Three points on the graph are indicated: $(-1,\pi)$ $(0,\frac{\pi}{2})$ $(1,0)$ $y = arctan ~x$ The domain is $(-\infty,\infty)$ The range is $(-\frac{\pi}{2}\frac{\pi}{2})$ Three points on the graph are indicated: $(-1,-\frac{\pi}{4})$ $(0,0)$ $(1,\frac{\pi}{4})$
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