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 six ordered pairs of polar coordinates describe only two different points in the plane.
Circle those that describe the rectangular point 2 3, 2 . The remaining ordered pairs describe the
rectangular point
2.

,
.


 31 
 4,

6 

 
 4, 
 6
5 

 4,  
6 

11 

 4, 

6 

23 

 4, 

6 

 7 
 4,

 6 
Sketch the graph of r  5sin(3 ) .
Label all points (using polar coordinates) at the extreme points of the petals.
MI-4
Polar Quiz
Name ___________________________
3.
Write a polar equation for each graph below.
a.
_______________________________
b.
______________________________
4. Change each polar function to rectangular form.
a.
r 2  sin(2 )
b. r  2sec( )
5. Change each rectangular function to polar form.
a.
x 2  y 2  2 x
b. x  2
MI-4
Name ___________________________
Polar Quiz
5.
Sketch the graph of r  2 3  4cos
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).