De Moivre's Theorem and How to Use It

This is a short intro to De Moivre's Theorem. We also do an example of how to use it. I hope this helps someone.
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Thank you:)

[@KMMOS1]

I am glad to hear mathematician name pronunciation is part of the curriculum.

[@TheMathSorcerer]

:)

[@AnirudhAS-ss8oi]

always has been ;)

[@jacquelinengandwe4461]

Awesome intro on the theorem

[@kamleshdatt1999]

Hello sir my name is kamleshdutt. Sir these days I am having bad days, I am not able to solve maths question. I feel like tearing the book and throwing it, please answer 2

[@kennytheripper2526]

Maybe you need to clear your brain cache.

[@escribidormadrid3463]

Could you please explain why the angles are simply multiplied by the power? Why does (cos x)^2 = cos2x and not cos^2x?

[@orangekraft3472]

Hey there! Take a look at the proof of Euler's identity for complex numbers, you'd understand :)

[@Reallycoolguy1369]

Yes, it is because of Euler's Identity: e^iθ=cosθ+isinθ So for a multiple angle nθ, replace θ with nθ: e^inθ=cos(nθ)+isin(nθ)

[@escribidormadrid3463]

@@Reallycoolguy1369 Thank you very much. It's rather simple after all.

[@thapelomailola8216]

I'm asking for help for Complex calculation

[@Love_hardwork]

tomorrow i have exam in it

[@poramessianparapio9547]

At 6:49 why did you go one and half revolution for 3pi sir please answer.

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[@gustavgille9323]

one revolution is equal to 2pi, so by going 3pi, it is the same as going one and a half revolution around the unit circle. This is also equal to going a half rotation (1pi), since the function is periodic at 2pi s.t. f(2pi + x) = f(x)

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