Polar Coordinates Warm-Up #2
Name ____________________________________
Trigonometry and Advanced Math
Recall from Friday:
We can use polar coordinates to refer to points. In the polar coordinate system, we can use ordered pairs (r, ) to denote a
point, where:
 is the angle we rotate from the x-axis
 r is how far we go away from the origin at angle .
We can think of this as drawing a circle of radius r centered at the origin and picking the point at angle  on that circle.
Consider the polar graph shown below. Interpret each circle as being one unit larger than the next smallest circle.
1.
Some points are already plotted on the graph.
What are the polar coordinates of each point?
2.
Plot each of the following points on the graph.
a. A = (6, /6)
b. B = (10, 5/4)
c. C = (12, 225º)
d. D = (-8, /3)
3.
Consider the point A = (6, /6). Plot this point on the
axes given. What are its coordinates in terms of x and y?
Hint: draw a right triangle and use trig ratios. (We call
this coordinate system, the one we're most familiar with,
the rectangular coordinate system.)