Chapter 9.5, Problem 1E

To determine

To fill: The blank in the statement “The origin of the polar coordinate system is called the $$ ”.

Answer to Problem 1E

The complete statement is “The origin of the polar coordinate system is called the $\text{pole}$ .”

Explanation of Solution

Given information:

The statement “The origin of the polar coordinate system is called the $$ ”.

Consider the provided statement “The origin of the polar coordinate system is called the $$ ”.

Polar coordinate system is denoted at $\left(r,\theta \right)$ . A point O is fixed in the plane and an initial ray from O to a point P is constructed.

O is known as the pole of the polar coordinate system.

Here r is the directed distance from O to P and $\theta$ is the directed angle taken in counterclockwise direction.

Thus, the complete statement is “The origin of the polar coordinate system is called the $\text{pole}$ .”