Question

Find the modulus and argumrent of the following complex numbers and hence express each of them in the polar form:
$\frac{1}{1+i}$

Answer 1

$\frac{1}{1+i}=\frac{1-i}{1+1}=\frac{1}{2}(1-i)=\frac{1}{\sqrt{2}}(\frac{1}{\sqrt{2}}-\frac{i}{\sqrt{2}})=\frac{1}{\sqrt{2}}{e}^{i\frac{7\pi }{4}}$

Moudlus and argument of $\frac{1}{1+i}$ is $\frac{1}{\sqrt{2}}$ and $\frac{7\pi }{4}$