Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 11: Parametric Equations and Polar Coordinates - Section 11.3 - Polar Coordinates - Exercises 11.3 - Page 663: 67

Answer

$(0,\theta)$ where $-\infty \lt \theta \lt \infty$

Work Step by Step

A point in the polar coordinate is defined as$(r,\theta)$. Here, $r$ is the distance between the pole and the origin and $\theta$ is the angle formed by the pole. However, when the point is at the origin $(0,0)$ itself then $r=0$ and then the point in the polar coordinate can be defined as: $(0,\theta)$ where $-\infty \lt \theta \lt \infty$
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