a) Show that a conic with focus at the origin, eccentricity e, and directrix x d ļ½ has polar equation
1 cos
ed r e ļ± ļ½ ļ« .
b) Show that a conic with focus at the origin, eccentricity e, and directrix y d ļ½ has polar equation
1 sin
ed r e ļ± ļ½ ļ« .