Animate ellipse drawing

$(x/3)^2+(y/5)^2=1$, $x=3sin[t]$, $y=5 cos[t]$

I want to draw a phase trajectory with time-lapse using manipulate or animate.

Manipulate[ParametricPlot[(x/3)^2 + (p/5)^2 == 1, {x, -3, 3}, {p, -5, 5}], {t, 0, 10}]
I tried this code. It is not working. What is the proper version?