Oh gosh, it's almost midnight and I'm watching an (amazing) video about de Moivre's Theorem...
@rubiks6
3 жыл бұрын
Wow. What a long winding path that was! I had to repeat a few stretches but I reached the finish line and my brain is still inside my head so I'm okay. Thanks, Professor Eddie!
@anthonyizci1415
3 жыл бұрын
w💫💫 back baby ‼️‼️
@rachelcurrie8895
3 жыл бұрын
Thank you so much your the only video that has an updated teaching on this I might actually get an A or a B on my quiz thank you soooooo much.
@tedsylvan9536
3 жыл бұрын
Something cool about your final answer...it’s a scaler of the conjugate of the original complex number, z. 1024 can be factored and that reveals the conjugate. Not sure why this result is obtained - coincidence or a message the problem’s authors are sending to the students of some deeper pattern. Cool.
@tedsylvan9536
3 жыл бұрын
Giving it a little deeper thought, because theta is 1/6 of the full circle (ie pi/3 or 360/6), the exponent works mod 6, and 1 and 11 are 1 and -1 mod 6 respectively, which may be the cause of ending up with a conjugate (scaled).
@mariachiinajar
3 жыл бұрын
Thank you Eddie for the fantastic tutorial! Can somebody tell me what's going on at the Exponential : z = re * i(theta) ? What should I look up to undertstand that part?
@ramakrishnasen4386
3 жыл бұрын
It's just another representation of complex number. For example z = a+bι = r(cosθ+ιsinθ) = re^{ιθ}
@WalkAroundMalaysia
3 жыл бұрын
Anyone who is reading this, I sincerely wish for you finding happiness in daily life, and you may be successful one day
@joshuaisemperor
3 жыл бұрын
We need more people like you in this world! I wish the same for you unknown friendly person!
@franchello1105
3 жыл бұрын
I took Calculus in Highschool and Multi Variable Calculus and Ddifferential Equations in College and never learned this. At least I do not remember learning this.
@syuliya802
2 жыл бұрын
It is very through, but as an adult, I can follow that it is definitions but, student might be very confused.... on algebra, plus moturity and being able to concentrate on the topic.
@hammadammast
3 жыл бұрын
Hiiii Eddie 🙌
@PauxloE
3 жыл бұрын
I guess you can get around writing "by de Moivre's Theorem" by just converting from polar to exponential form and back. Though then you need to write "by Euler's formula" two times, not sure that's better.
@h.7945
3 жыл бұрын
👍👍👍👏
@mohammedal-musawi4820
3 жыл бұрын
What grade is this??
@matejamartin2199
Жыл бұрын
Is it pre calculus?
@leesmith9299
3 жыл бұрын
where are they getting theta = pie/3 from? have they just memorised that or is there some logic they're using? i need a logical way of working it out coz my memory is just not that good.
@mohammedal-musawi4820
3 жыл бұрын
It's easy to memorize. pi/3 means 60° cos60°=1/2 sin60°=√3/2 pi/6 means 30° cos30°=√3/2 sin30°=1/2 pi/4 means 45° con45°=1/√2 sin45°=1/√2 Or watch this video about special angles: kzitem.info/news/bejne/2oCDrX2BfIiAYKg
@leesmith9299
3 жыл бұрын
@@mohammedal-musawi4820 haha. that would require me to remember the 60 deg values. no big deal. i can just accept that i need better memory. i always like backup plans to work stuff out if i forget. i'll try that video. cheers.
@leesmith9299
3 жыл бұрын
@@mohammedal-musawi4820 ok, cool. that triangle certainly helps. just a few things to remember and i can work the rest out from there. thanks.
@seanclough7810
3 жыл бұрын
This is how I kill time waiting on pizza delivery
@cepatwaras
3 жыл бұрын
Hey, I know that game! 😄
@bartlomiejodachowski
3 жыл бұрын
I've played 2048 too
@eaglei2505
3 жыл бұрын
what kinda high school teaches people this? one for geniuses?
@forthrightgambitia1032
2 жыл бұрын
In the UK this is covered in Further Maths A level, I guess the extension material in Australia is similar.
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