Let $\mathcal{G}$ be the graph of the parametric equations

\begin{align*}
x &= \cos(4t),\\
y &= \sin(6t).
\end{align*}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 $\mathcal{G}$?

The answer is not pi. I have tried that, and it says it is wrong.

3 answers

Hmmm. You're right. It's 2π/3
\pi/2 trust me 100% correct
It’s pi/2 trust him