Question

Write the complex number $-3\sqrt{2}+3\sqrt{2i}$ in the polar form

Answer 1

$3\sqrt{2}(1-i)$

$=3\sqrt{2}\times \sqrt{2}(\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i)$

$=6(\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i)$

$=r(\cos \theta +\sin i)$form

when $r=6,\theta =\frac{-\pi }{4}$