Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 10 - Section 10.3 - Polar Coordinates - 10.3 Exercises - Page 666: 1

Answer

(a) We can see the point $(1,\frac{\pi}{4})$ on the graph. Two other pairs of polar coordinates are $(1, \frac{9\pi}{4})$ and $(-1, \frac{5\pi}{4})$ (b) We can see the point $(-2,\frac{3\pi}{2})$ on the graph. Two other pairs of polar coordinates are $(2, \frac{\pi}{2})$ and $(-2, \frac{7\pi}{2})$ (c) We can see the point $(3,-\frac{\pi}{3})$ on the graph. Two other pairs of polar coordinates are $(3, \frac{5\pi}{3})$ and $(-3, \frac{2\pi}{3})$
1554033879

Work Step by Step

(a) We can see the point $(1,\frac{\pi}{4})$ on the graph. We can find two other pairs of polar coordinates: $(1, \frac{\pi}{4}+2\pi) = (1, \frac{9\pi}{4})$ $(-1, \frac{\pi}{4}+\pi) = (-1, \frac{5\pi}{4})$ (b) We can see the point $(-2,\frac{3\pi}{2})$ on the graph. We can find two other pairs of polar coordinates: $(2, \frac{3\pi}{2}-\pi) = (2, \frac{\pi}{2})$ $(-2, \frac{3\pi}{2}+2\pi) = (-2, \frac{7\pi}{2})$ (c) We can see the point $(3,-\frac{\pi}{3})$ on the graph. We can find two other pairs of polar coordinates: $(3, -\frac{\pi}{3}+2\pi) = (3, \frac{5\pi}{3})$ $(-3, -\frac{\pi}{3}+\pi) = (-3, \frac{2\pi}{3})$
Small 1554033879
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.