Category:Examples of Use of Division of Complex Numbers in Polar Form

This category contains examples of use of Division of Complex Numbers in Polar Form.

Let $z_1 := \polar {r_1, \theta_1}$ and $z_2 := \polar {r_2, \theta_2}$ be complex numbers expressed in polar form, such that $z_2 \ne 0$.

Then:

$\dfrac {z_1} {z_2} = \dfrac {r_1} {r_2} \paren {\map \cos {\theta_1 - \theta_2} + i \map \sin {\theta_1 - \theta_2} }$

or:

$\dfrac {z_1} {z_2} = \dfrac {r_1} {r_2} \map \cis {\theta_1 - \theta_2}$