The general form is
r = k/(1 ± e cosθ)
or
r = k/(1 ± e sinθ)
so, you need to massage what you have into that form
2/(3+2sinθ) = (2/3)/(1 + 2/3 sinθ)
so, e = 2/3
do the others in like wise.
find the eccentricity to identify the conic, then sketch the conic and its directrix
r=1/1-cos theta
r=2/3+2 sin theta
r=4/1-2 cos theta
1 answer