# Math Help - Polar Form

1. ## Polar Form

Find zw and (z/w). Leave your answers in polar form.

z = 1 - i
w = 1 - sqrt{3} i

2. Originally Posted by magentarita
Find zw and (z/w). Leave your answers in polar form.

z = 1 - i
w = 1 - sqrt{3} i
To assist converting z and w into polar form, plot each of them on an Argand diagram. You should be able to find that:

$z = \sqrt{2} \, \text{cis} \left( -\frac{\pi}{4} \right)$.

$w = 2 \, \text{cis} \left( -\frac{\pi}{3} \right)$.

Now refer to and apply the formulae for multiplying and dividing complex numbers expressed in polar form.