Question

Find the rectangular equation for the conic. Identify it with focus, the center, the vertices, the directrix where it is applicable
x=2+cosq
y=3sinq-1

Answer 1

cosq = x-2

sinq = (y+1)/3

sin^2 + cos^2 = 1
--> (y+1)^2 /9 + (x-2)^2 = 1

looks like an ellipse