Parametric equation of a graph is x = cos(4t) , 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 $\mathcal{G}$?
What is the process of finding smallest interval? My question is same as: Find the smallest interval for parametric equations
Here is what I tried: cos(4t) has period π/2 and sin(6t) has period π/3. I thought of taking LCM of [π/2, π/3] = π . But this doesn't seem to be the right answer. Any help is appreciated.