Question

Find the modulus and argumrent of 1 + i and hence express it in the polar form:

Answer 1

$Complexnumber=1+imodules=\sqrt{{\left(1\right)}^2+{\left(1\right)}^2}=\sqrt{2}argument={\tan }^{-1}\left(\frac{y}{x}\right)={\tan }^{-1}\left(1\right)=\frac{\pi }{4}polarform=\sqrt{2}\left(\frac{1+i}{\sqrt{2}}\right)=\sqrt{2}(cos\frac{\pi }{4}+isin\frac{\pi }{4})$