Let G be the graph of the parametric equations x=cos(4t)and y=sin(6t). What is the length of the smallest interval I such that the graph of these equations for all t in I produces the entire graph G?

Answer 1

the period for x is pi/2
the period for y is 2pi/3

So, I'd say I=[-pi/3,pi/3]

Answer 2

That's wrong :(
It's not 2pi/3 or pi