I have to rewrite the following to polar form: re^iθ (θ is in radian).

Thanks a lot!

You are a life saver 

I think it is 

$$\\2e^{i\pi/6}\\\\ =2(cos\frac{\pi}{6}+isin\frac{\pi}{6})\\\\ =2(\frac{\sqrt3}{2}+i*\frac{1}{2})\\\\ =\sqrt3+i$$   

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You do not need this pic to answer the question but I think it may help you to understand

Thanks for the help.

I just dont understand why you use π/6?

How do you know that θ = π/6?

$$\\\theta = 30 degrees\\\\ 180\;degrees = \pi\; radians\qquad $This is something you need to know$\\ so\\ 1 \;degree = \frac{\pi}{180}\;radians\\ so\\ 30\;degrees=30\times\frac{\pi}{180}\;radians\\\\ 30\;degrees=\frac{\pi}{6}\;radians\\$$

Does that answer your question ?