Chapter 9.5, Problem 2E

To determine

Fill the blanks of the given statements.

Answer to Problem 2E

For the point $(r,\theta ),r$ is the directed distance from $\theta$ to $P$ and $\theta$ is the directed angle

counterclockwise from the polar axis to the line segment $\overline{OP}$ .

Explanation of Solution

Given:

For the point $(r,\theta ),r$ is the-----------from $\theta$ to $P$ and $\theta$ is the-------

counterclockwise from the polar axis to the line segment $\overline{OP}$ .

Any point on the plane can be assigned polar coordinates

  $(r,\theta )$

For the point $(r,\theta ),r$ is thedirected distancefrom $\theta$ to $P$ and $\theta$ is thedirected angle

counterclockwise from the polar axis to the line segment $\overline{OP}$ .