Write the following complex numbers in the polar form: `\ 1+i`

Explanation

Modulus`abs(z)=sqrt((-1)^2+(-1)^2)=sqrt 2`

`tan alpha= abs(frac{Im(z)}{Re(z)})`

`tan alpha=1=>alpha=frac{pi}{4}`

The point representing `z` lies in the first quadrant.

Argument `theta` of `z` is `theta=alpha=frac{pi}{4}`

Polar form is `z=sqrt 2(cosfrac{pi}{4}+i sin frac{pi}{4})`