Find the modulus and principal argument of `(1+i)` and hence express it in the polar form.

Explanation

`abs(z)=sqrt(x^2+y^2)`

`=sqrt(1^2+1^2)=sqrt 2`

`theta = tan^(-1)(frac{(y)}{(x)})=tan^(-1)1`

`theta=frac{pi}{4}`

`:.` the polar form is, `z=sqrt 2(cos frac{pi}{4}+ i sin frac{pi}{4})`