Chapter 9.1, Problem 5AYU

To determine

To fill up the blanks.

Answer to Problem 5AYU

Pole, polar axis.

Explanation of Solution

Given Information:

Consider the statement given in textbook.

The origin in the rectangle plane coincides with ____ in polar coordinates; the positive x axis in rectangular coordinates coincides with the ____ in polar coordinates.

Calculation:

Assume a rectangular coordinate system. A point in the plane is represented by an ordered pair, where x and y equal the signed distance of the point from x and y axis respectively.

Now consider polar coordinates. In polar coordinate, a point is represented by an ordered pair, where r is the distance that of this point on its ray from its initial point and represents the angle subtended by it with x-axis.

This initial point of the ray is called pole. And ray in its initial horizontal position is called polar axis.

Pole, Polar axis.