Polar Form of Complex Number/Examples/root 3 over 2 - 3 i over 2

Example of Polar Form of Complex Number
The complex number $\dfrac {\sqrt 3} 2 - \dfrac {3 i} 2$ can be expressed as a complex number in polar form as $\polar {\sqrt 3, \dfrac {5 \pi} 3}$.

Proof
Then:

Hence:
 * $\map \arg {\dfrac {\sqrt 3} 2 - \dfrac {3 i} 2} = \dfrac {5 \pi} 3$

and hence the result.