A parametric equation is a way of representing a relationship between two variables (say, x and y) by introducing a third variable, say t, and setting up a set of equations as a function of this third variable.
Suppose we have the following equation of an ellipse:
x2+4y2=R2.
Which set of parametric equations will trace out a similar ellipse?
A. x(t)=Rcos(t),y(t)=2Rsin(t)
B. x(t)=Rsin(t),y(t)=2Rcos(t)
C. x(t)=Rcos(t),y(t)=2Rsin(t)
D. x(t)=2Rcos(t),y(t)=Rsin(t)