Để \(x=4cos\left(2\pi t-\dfrac{\pi}{3}\right)=0\Rightarrow cos\left(2\pi t-\dfrac{\pi}{3}\right)=0\)
\(\Leftrightarrow2\pi t-\dfrac{\pi}{3}=\dfrac{\pi}{2}+k\pi\left(k\in Z\right)\)
\(\Leftrightarrow2t-\dfrac{1}{3}=\dfrac{1}{2}+k\Leftrightarrow t=\dfrac{5}{12}+\dfrac{k}{2}\left(k\in Z\right)\)