Answer:
x = 6 cos t
y = 6 sin t
where t varies from 0 to 2pi
Step-by-step explanation:
Given that an ellipse is centred at the origin in xy plane.
So equation would be of the form
Major axis =2a= 12
so a=6
Minor diameter = 8
b = 8/2 = 4
a=6 and b =4
Also (6,0) should correspond to t=0
So best parametrization would be
x = 6 cos t
y = 6 sin t
where t varies from 0 to 2pi