I. To convert from polar coordinates to rectangular coordinates
II. To convert from rectangular coordinates to polar
If is in the same quadrant as the point (x, y), then r is positive. If is in the opposite
quadrant as the point (x,y),
then r is negative.
III. When graphing polar equations:
1. Test for symmetry
(a) Replace (r, ) by (r, ) or (-r,
(b) Polar axis: Replace (r, ) by (r, -) or (-r, )
(c) Pole: Replace (r, ) by (r, ) or (-r, )
2. Find the value for which |r| is maximum.
3. Find the value for which r = 0.
4. Know the different types
of polar graphs.
(a) Limacons
|
(b) Rose Curves: n
|
(c) Circles
|
(d) Lemniscates
|