Find parametric equations for an object moving clockwise alo

Find parametric equations for an object moving clockwise along the ellipse x^2/16 + y^2/25 = 1 beginning at (4, 0) and requiring 4 seconds for a complete revolution.

Solution

From this equation of ellipse, we have a^2=16

So, a=4

And b^2=25

So, b=5

Parametric equation of ellipse is x= acos(theta) , y= bsin(theta)

So, for given ellipse,

X= 4cos(theta)

Y= 5sin(theta)