Chapter 9.1, Problem 1CFU

To determine

To explain : the statement.

Explanation of Solution

Given information : A point in the polar plane cannot be named by a unique ordered pair $\left(r,\theta \right)$ .

In a point $P$ has polar coordinates $\left(r,\theta \right)$ , and then it also has polar coordinate.

  $\left(r,2k\pi \right)$ in radius, or $\left(r\cdot k\cdot {360}^{\circ }\right)$ in degrees.

In other words there is an infinite numbers of representing the angle alone.

Furthermore, $r$ can be negative,

Which changes the interpretation of the angle, which also increases the number of ways expressing the point in polar coordinates.