Given any Cartesian coordinates, (x,y), there are polar coordinates with
Find polar coordinates with for the following
(a) If then
(b) If then
(c) If then
(d) If then
(e) If then
(f) If then
, see work
A curve in polar coordinates is given by:
Point P is at
1) Find polar coordinate r for P, with r > 0 and
2) Find cartesian coordinates for point P.
, y =
3) How may times does the curve pass through the origin when
A circle C has center at the origin and radius 9.
Another circle K has a diameter with one end at the origin
and the other end at the point (0,16).
The circles C and K intersect in two points. Let P be the point of
intersection of C and K which lies in the first quadrant.
Let be the polar coordinates
of P, chosen so that r is positive and
Find r and . r =