The X-Component of Motion of an Object Is Given by X(t)

Multiple Choice

The x-component of motion of an object is given by x(t) = A_xcos(ω_xt + φ_x) and the y-component of motion of the object is given by y(t) = A_ycos(ω_yt + φ_y) . What relationships between the A,ω, and φ parameters must be true so that the motion of the object is on a circle?

A) A_x = A_y, ω_x = ω_y, and φ_x = φ_y
B) A_x = ±A_y, ω_x = ±ω_y
C) A_x = ±A_y, ω_x = ω_y, and φ_x = φ_y ± π/2
D) A_x = A_y, ω_x = ±ω_y, and φ_x = φ_y
E) A_x = ±A_y, ω_x = ±ω_y, and φ_x = φ_y ± π/2