I've got the complex number:
$$z_{0}=2e^{\dfrac{i\pi}{6}}$$and i can't figure out
Im(z) and Re(z]

Question

I've got the complex number:
$$z_{0}=2e^{\dfrac{i\pi}{6}}$$and i can't figure out 
Im(z) and Re(z]

anonymous · Answer

the e^
notation has a circle and you are moving on it.

$$\frac{ \Pi }{ 6 }$$|dw:1382630524725:dw|

anonymous · Answer

there's an equation are you allowed to use it?

$$\cos x + i \sin x$$

anonymous · Answer

Yes i guess so, i have to find the polar coordinates

anonymous · Answer

i sin x
is the complex part of the complex pointer in the polar graph

and x = pi/6

anonymous · Answer

is the imaginary part, I mean

anonymous · Answer

for the number you got, it can have the extreme cases
Re=0, Im=2

or
Re=2, Im=0

the distribution depends on the angle pi/6
and the triangle's sides that are opened by the complex pointer

anonymous · Answer

in other words:

Im(z) =2* sin pi/6
and Re(z) =2* cos pi/6

anonymous · Answer

Thank you very much for your help, i'll be back in a min, i'll just have to make dinner :)