# How do you write the complex number z = 8 − 8i in trigonometric form?

Jul 23, 2016

$= 8 \sqrt{2} {e}^{- i \frac{\pi}{4}}$

#### Explanation:

$8 - 8 i$

$= 8 \left(1 - i\right)$

$= 8 \sqrt{2} \left(\frac{1}{\sqrt{2}} - \frac{i}{\sqrt{2}}\right)$

$= 8 \sqrt{2} {e}^{- i \frac{\pi}{4}}$