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

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