Question

Represent the following complex number in trigonometric form:
$\sqrt{3}+i$

Answer 1

$z=\sqrt{3}+i=r{e}^{i\theta }$(let)

$r=\sqrt{3+1}=2$

$\theta ={\tan }^{-1}\left(\frac{1}{\sqrt{3}}\right)=\pi /6$

$z=2e^{i\pi /6}$