Polar Form of Complex Number/Examples/2 - 2i

Example of Polar Form of Complex Number
The complex number $2 - 2 i$ can be expressed as a complex number in polar form as $\polar {2 \sqrt 2, \dfrac {7 \pi} 4}$.

Proof
Then:

Hence:
 * $\map \arg {2 - 2 i} = \dfrac {7 \pi} 4$

and hence the result.