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I really need help solving thisIt’s from my ACT prep guide 21’-22’

I really need help solving thisIt’s from my ACT prep guide 21’-22’-example-1
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Coterminal angles: are angles in standard position (angles with the initial side on the

positive x-axis) that have a common terminal side.

If we call our angle as θ, its coterminal angles are given by


\begin{gathered} \theta\pm2\pi n \\ n\in\mathbb{N} \end{gathered}

Our angle is 4π/3, therefore, its coterminal angles are


\begin{gathered} (4\pi)/(3)\pm2\pi n=\ldots,(4\pi)/(3)-4\pi,(4\pi)/(3)-2\pi,(4\pi)/(3),(4\pi)/(3)+2\pi,(4\pi)/(3)+4\pi,\ldots \\ =\ldots,-(8\pi)/(3),-(2\pi)/(3),(4\pi)/(3),(10\pi)/(3),(16\pi)/(3),\ldots \end{gathered}

From the given options, those that fits this description are


-(8\pi)/(3),-(2\pi)/(3),(10\pi)/(3)

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