# How do you write the trigonometric form of -2(1+sqrt3i)?

Jun 11, 2017

$4 \left(\cos \frac{4 \pi}{3} + i \sin \frac{4 \pi}{3}\right)$
$\frac{1}{2} + \frac{\sqrt{3}}{2} i = \cos \frac{\pi}{3} + i \sin \frac{\pi}{3}$
Multiply by $- 4$
$\frac{\pi}{3} + \pi$