Question

Convert the complex number z = -12 + 5i from rectangular form to polar form.​

Answer 1

`z=13(\cos 157\degree +i\sin157\degree)`

Explanation:

The given complex number is

`z=-12+5i`

The polar form of this complex number is;

`z=r(\cos \theta +i\sin \theta)`, where

`r=√((-12)^2+5^2)`

`r=√(144+25)=√(169)=13`

and

`\theta =\tan^(-1)((5)/(-12))`

This implies that;

`\theta=157\degree` to the nearest degree.

Hence the polar form is

`z=13(\cos 157\degree +i\sin157\degree)`