How do you convert complex numbers from standard form to polar form and vice versa?

1 Answer
Jul 13, 2018

Answer:

Please see the explanation below

Explanation:

To convert a complex number

#z=x+iy#

to the polar form

#z=r(costheta+isintheta)#

Apply the following :

#{(r=|z|=sqrt(x^2+y^2)),(costheta=x/(|z|)),(sintheta=y/(|z|)):}#

And to convert

The polar form

#z=r(costheta+isintheta)#

to the standard form

#z=x+iy#

Apply the folowing

#{(x=rcostheta),(y=rsintheta):}#