# Parametric equation of a Curtate cycloid

The problem says;

Suppose that a bicycle wheel of radius a rolls along a flat surface without slipping. If a reflector is attached to a spoke of the wheel at a distance b from the center of the resulting curve traced out by the reflector is called a curtate cycloid.

I need to find a set of parametric equations for the curtate cycloid.

Using vectors I found the following set of parametric equations

$$x=at-|a-b|sin(t)$$

$$y=a-|a-b|cos(t)$$

I would appreciate it if someone could tell me if my answer is correct since this is an even numbered problem I cannot check my answer. And don't worry...I don't have to turn this in or anything so it's not cheating...