Question

Find the modulus and argumrent of the following complex numbers and hence express each of them in the polar form:
$\sqrt{3}+i$

Answer 1

$Complesnumber:\sqrt{3}+iModulus=\sqrt{{\left(\sqrt{3}\right)}^2+{\left(1\right)}^2}=\sqrt{3+1}=2argument={\tan }^{-1}\left(\frac{1}{\sqrt{3}}\right)=\frac{\pi }{6}Polarform=2(\frac{\sqrt{3}}{2}+\frac{i}{2})=2(cos\frac{\pi }{6}+isin\frac{\pi }{6})$