[DTube] Finding Powers of Complex Numbers using DeMoivre's Theorem

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I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain.

If we were to try and evaluate powers of complex numbers in their cartesian form, that is...

aa1.png

We would have to use binomial expansion, which goes something like this...

aa2.png

This binomial expansion, depend on how large n is, can get quite tedious and error prone. So is there an easier, more efficient way we can find powers of complex numbers?

Yes, there is! By using the polar form, which we can easily convert back to cartesian form.


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[DTube] Finding Powers of Complex Numbers using DeMoivre's Theorem | Ecency