MI-4
Polar Quiz
Name ___________________________
Show enough work that I can reproduce your results. Clearly indicate your answers.
All answers should be exact. TI-30 only
1.
The following eight ordered pairs of polar coordinates describe only two different points in the plane.
Circle those that describe the rectangular point 2 3, 6 . The remaining ordered pairs describe the
rectangular point
2.

,
.


13 

 4 3, 

3 



 4 3,  
3

17 

 4 3,

3 

32 

 4 3,

3 

11 

 4 3,

3 

7 

 4 3, 

3 

14 

 4 3,

3 

8 

 4 3, 
3 

Sketch the graph of r  2  2cos
Label all points (using polar coordinates)
where the graph intercepts the horizontal
and vertical axes.
MI-4
Polar Quiz
3.
Write a polar equation for each graph below.
Name ___________________________
6
a.
_______________________________
6
b.
______________________________
4. Change each polar function to rectangular form.
a.
r  3cos
c.   

3
b. r 
3
2cos  3sin 
MI-4
Name ___________________________
Polar Quiz
5.
Sketch the graph of r  2  4sin
Label all points (using polar coordinates) where the graph intercepts the horizontal and vertical axes.
Find all values of  with 0    2 for which the graph passes through the pole (origin).