Identify the parametric equations that represent the same path as the following parametric equations.

Question

x = 4 + cos θ
y = 3 sin θ

A. x = cos θ
y = 4 + 3 sin θ
B. x = 4 + 2 cos θ
y = 6 sin θ
C. x = 4 + cos 4θ
y = 3 sin 4θ
D. x = 3 sin θ
y = 4 + cos θ

Answer 1

A. x = cos θ
y = 4 + 3 sin θ

These parametric equations represent the same path as the given parametric equations x = 4 + cos θ and y = 3 sin θ.