Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.3 - Polar Coordinates - Concept and Vocabulary Check - Page 741: 2


The origin in the rectangular coordinate system coincides with the pole in polar coordinates. The positive x-axis in rectangular coordinates coincides with the polar axis in polar coordinates.

Work Step by Step

The two different ways of locating a point in a plane are the rectangular coordinate system and polar coordinate system. In the polar coordinate system, each point on a plane is determined by a distance from a reference point and an angle from the reference direction. It is represented by $\left( r,\theta \right)$, where r denotes the distance from the reference point and $\theta $ denotes the angle that it makes with the reference direction. But in the rectangular coordinate system, each point in a plane is determined by a pair of coordinates and represented in the form of $\left( x,y \right)$. So, in the rectangular coordinate system, the origin coincides with the origin in the polar system this coincides with the pole. So, both representations are similar but their nature will vary.
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.