## Precalculus (6th Edition) Blitzer

Published by Pearson

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

#### Answer

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.

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