Polar Form of Complex Number/Examples/-5 + 5i

Example of Polar Form of Complex Number
The complex number $-5 + 5 i$ can be expressed as a complex number in polar form as $\polar {5 \sqrt 2, \dfrac {3 \pi} 4}$.

Proof

 * -5 + 5 i.png

Then:

Hence:
 * $\map \arg {-5 + 5 i} = \dfrac {3 \pi} 4$

and hence the result.