Using De Moivre's Theorem to find powers of complex numbers in polar form, z=reiθ, so that zn=rneinθ=rncis(nθ),
Now that we know how to represent complex numbers in the form reiθ, we can understand De Moivre's Theorem, which gives us a shortcut to finding powers of complex numbers:
And since reiθ=rcisθ:
Nice work completing Powers of Complex Numbers, here's a quick recap of what we covered:
Exercises checked off
Using De Moivre's Theorem to find powers of complex numbers in polar form, z=reiθ, so that zn=rneinθ=rncis(nθ),
Now that we know how to represent complex numbers in the form reiθ, we can understand De Moivre's Theorem, which gives us a shortcut to finding powers of complex numbers:
And since reiθ=rcisθ:
Nice work completing Powers of Complex Numbers, here's a quick recap of what we covered:
Exercises checked off