Polar Form of Complex Number/Examples/-3i

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

Proof

 * -3i.png

Then:

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

and hence the result.