Question

Represent the following complex number in trigonometric form:
$3-4i$

Answer 1

$3-4i=r{e}^{i\theta }$

$r=\sqrt{3^2+4^2}=5$

$\theta =-{\tan }^{-1}\left(\frac{4}{3}\right)$

$⟹5e^{i{\tan }^{-1}\frac{-4}{3}}$