Can you check my work?

sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve.
x=2+3cosθ
y=2sinθ

answer: cosθ=x/5
sinθ=y/2
cos^2θ + sin^2θ=1
(x/5)^2+(y/2)^2=1
(x/5)^2+(y/4)^2=1

1 answer

No.

x = 2 + 3cosθ

NOT

x = (2+3)cosθ