Polar Form of Complex Number/Examples/-3 - 4i

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

Proof
Then:

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

as $-3 - 4 i$ is in Quadrant III.