Hot to get $e^{iwT} = 1$, $T = \frac{2\pi}{w}$?

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Can someone please explain how to get to the above conclusion for T from the equation provided? I understand:

$e^{iwT} = 1$

Can be written as:

$\cos(wT) + i\sin(wT) = 1$

But I’m at a loss as how to proceed further. Though I know:

$T = \frac{2\pi}{w} $

It’s been a while since I’ve done this kind of math so if there’s a resource anyone can recommend for a refresh I’m open to suggestions. Also if there are better tags for this feel free to let me know.