(572,#3)Plot the point whose polar coordinates are given as . Then find two other pairs of polar coordinates of this point, one with r>0 and one with r<0.

Solution:

Because the value of r is negative, we must rotate the point 180 degrees from .

Two other pairs of polar coordinates of the same point:

at r < 0, the same point is attained when rotating theta 360 degrees, therefore pt#2 = () , for r < 0

at r > 0,we can also see that when rotating theta 180 degrees we attain which is the same point as
(

by:sh