Find parametric equations on the interval 0 lessthanorequalt

Find parametric equations on the interval 0 lessthanorequalto t lessthanorequalto 2 pi for the curve with a counter-clockwise orientation starting and ending at (4 0) as shown. Choose the correct parametric equations for the ellipse on the interval0 lessthanorequalto t lessthanorequalto 2 pi. x = cos^2 t/16 y = sin^2 t/25 x = 4 cos t y = 5 sin t x = 5 cos t y = 4 sin t x = 16 cos^2 t y = 25 sin^2t

Solution

Here the major axis 2a=10

And minor axis 2b=8

And the equation is

x²/16 + y²/25=1

And parametric equation is

x=4 cos t , y=5 sin t