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Operations on complex numbers in polar form - Complex Numbers

Operations on complex numbers in polar form

Lessons

Notes:
Note:

Polar form
real part
a=zcosθa=|z|\cos \theta
imaginary part
b=zsinθb=|z|\sin \theta
z=z(cosθ+isinθ)z=|z|(\cos \theta+i\sin \theta)

When …
Multiplying: multiply the absolute values, and add the angles
Dividing: divide the absolute values, and subtract the angles

Exponential form
z=zeiθz=|z|e^{i \theta}
  • 1.
    Multiplying complex numbers in polar form
  • 2.
    Dividing complex numbers in polar form
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Operations on complex numbers in polar form

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