Question

Polar form of the complex number $z=x+iy$ is

Answer 1

To Convert $z=x+iy$ into Polar Form we follow the following steps $:$

Put

$x=r\cos \theta$ ....................(1)

$y=r\sin \theta$ ...................(2)

Then Squaring and adding (1) and (2), we get

$r^2=x^2+y^2$

Upon dividing (2) by (1), we get

$\tan \theta =\frac{y}{x}$ .................(3)

Now we can find $\cos \theta$ and $\sin \theta$ using (3)

$z=r(\cos \theta +i\sin \theta )$ is the required Polar Form.