Question

Express the complex number $1+i\sqrt{3}$ in modulus amplitude form.

Answer 1

$1+i\sqrt{3}=2(\frac{1}{2}+i\frac{\sqrt{3}}{2})=2(\cos \frac{\pi }{3}+i\sin \frac{\pi }{3})=2e^{i\frac{\pi }{3}}$