Problem set 1
Problem set 2
Problem set 3
Problem set 4
Problem set 5
Problem set 6

Problem set 1

In the following, points are specified using polar coordinates. Represent each of them geometrically.

1. 
2. 
3. 
4. 
5. 
6. 

Problem set 2

Represent each of the following using equations/inequalities in the polar coordinate system.

1. A circle of radius units centered at the pole.
2. A line making an angle of with the polar axis.
3. Polar axis.
4. A spiral starting at the pole going in the counterclockwise direction.
5. A line perpendicular to the polar axis and 2 units away from the pole.
6. A line parallel to the polar axis and 3 units away from the pole.
7. The annular space between two concentric circles centered at the pole with radii and units.
8. A circle of radius units centered at a point on the polar axis units away from the pole.

Problem set 3

For each of the following, assume the polar coordinate system and the Cartesian coordinate system are superimposed on one another, and come up with the equation of the geometric object in the polar coordinate system.

1. A circle of radius units centered at .
2. A circle of radius units centered at .
3. A circle of radius units centered at .

Problem set 4

Convert each of the following equations into its equivalent equation in Cartesian coordinate system, and use that to describe what the geometric object represented by the equation is.

1. 
2. 
3. 
4. 
5. 
6. 

Problem set 5

Describe the symmetry exhibited by the geometric objects represented by the following equations.

1. 
2. 
3. 
4. 
5. 
6. 
7. 

Problem set 6

Graph the following.

1. 
2. 
3. 
4. 
5.