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

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Answer 1 · 2018-07-13T14:43:27

Please see the explanation below

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):}#