Trigonometry - Finding the roots of a complex number using DeMoivre's theorem

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  • Опубліковано 14 гру 2024

КОМЕНТАРІ • 42

  • @petersen5716
    @petersen5716 3 роки тому +21

    8 years later, still saving students from grey areas, nothing but respect for you sir

  • @berezker
    @berezker 4 роки тому +23

    I usually don't comment on these types of videos but man! The way you explain things is so friendly and extremely easy to understand. You're an excellent teacher!

  • @ahmet4kadir
    @ahmet4kadir Рік тому +2

    saved me 10 years after publishing. Thanks, i have my midterm for calculus tomorrow.

  • @maxperez6760
    @maxperez6760 6 років тому +16

    This saved my life. I couldn't find a single source online that explained it this well. My college prof sucks lol, thanks!

  • @karensumlin2137
    @karensumlin2137 Рік тому +6

    FINALLY!!! Someone who actually shows in straightforward terms how to apply De Moivre's theorem in order to obtain the nth root of a complex number!

    • @TMK264
      @TMK264 10 місяців тому

      Yes!!!! My jaw dropped on the floor when he simplified the thinking and approach without diluting the content. This was amazing

  • @chinnuchinnu966
    @chinnuchinnu966 Місяць тому +1

    11 years ago but still gold ❤

  • @namodhedirisinghe9925
    @namodhedirisinghe9925 5 років тому +2

    This is so clean. So awesome. Highly recommended to any uni student.

  • @lizardof78
    @lizardof78 7 років тому +8

    That was awesome! I was being taught the hard way! Dividing it by 3 at every step (finding the cube roots)! THANKS!

  • @noahsanchez5329
    @noahsanchez5329 3 роки тому +1

    Man, you explained this really well. Thanks for the help!

  • @rouzbeh26
    @rouzbeh26 7 років тому +2

    love you man, this is so much simpler to understand thanksssssssss!!!

  • @leeyeon5481
    @leeyeon5481 2 роки тому

    Oh gosh you saved my high school life thank you soooo much🤍🤍

  • @sachinprabhuram5765
    @sachinprabhuram5765 Місяць тому

    It's 1am and I have an exam in the afternoon. Thanks for coming in clutch

  • @esthers4289
    @esthers4289 4 роки тому +1

    You... you are an amazing human being. Thank you!!!

  • @tearose1625
    @tearose1625 10 років тому

    Great video, thanks so much. I was wondering what the modulus would be if you had to find something like the cube root of a number. Is it 3? Would you still divide theta by 3?

  • @colepond2772
    @colepond2772 5 років тому +3

    bless
    your
    soul

  • @jtb1515
    @jtb1515 Рік тому

    Thanks for the help on my Diff Eq test that is in less than an hour.

  • @yeahlexander
    @yeahlexander 5 років тому +1

    Incredible! Amazing.

  • @ÆmnGoogle
    @ÆmnGoogle Рік тому

    Thnx. I hve understood this clearly.

  • @snipbits9551
    @snipbits9551 Місяць тому

    Thanks 11 years later!

  • @LegrochaTV
    @LegrochaTV 4 роки тому

    Thank you for this. 🙏🏽💯

  • @abbymeza1154
    @abbymeza1154 5 років тому +2

    danke

  • @shaikhkhalid93
    @shaikhkhalid93 9 років тому

    Very Helpful video,

  • @gideonwada1995
    @gideonwada1995 3 місяці тому

    Thank you so much

  • @asadzaman4202
    @asadzaman4202 2 роки тому

    Great 👍👍👍

  • @stickmanbattle997
    @stickmanbattle997 2 роки тому

    This technique is op !

  • @kev4792
    @kev4792 5 років тому +1

    THANKS!!!!!

  • @OverlordFrost25
    @OverlordFrost25 3 роки тому +1

    fucking awesome bro.Thank you.

  • @tobster8367
    @tobster8367 4 роки тому

    Doesn't work for a particular equation I tried to solve
    32[cos150 + isin150]
    5th root

    • @justsaynototv8366
      @justsaynototv8366 4 роки тому +2

      I have never reply to any comment(s) on youtube before...but I wanted to reply to this one. It works for your question. 1st you need to find the 5th root of 32...which is 2....2nd you need to divide 150 by 5 which is 30...3rd you need to divide 360 by 5 which is 72. Then you build all of your new roots from the modules of the 5th root of 2...So, your 1st of 5 modules will start like this... 2[cos(30) + i sin(30)], and then you add 72 to the rest of the modules 2[cos(102) + i sin(102)]...etc. etc. I hope this helps....good luck....

    • @anonymous-xe5it
      @anonymous-xe5it 4 роки тому

      @@justsaynototv8366 hey ! how about the question only given z = -8 then find all 6th roots. My k(0) is 2[cos 30 + isin 30 , then k(1) is 2[cos 90 + isin 90] ........ etc + 60 is this correct???

  • @sourovchowdhury
    @sourovchowdhury 2 роки тому

    thanks!

  • @shakirag7669
    @shakirag7669 2 роки тому

    thankyou!!!

  • @zacrackedgamergg1261
    @zacrackedgamergg1261 6 років тому

    nice man

  • @Aaron-hs4gj
    @Aaron-hs4gj 3 роки тому

    Thx

  • @one_tricky_boi
    @one_tricky_boi 3 роки тому

    ayo whats k tho

  • @jacksonsingh5194
    @jacksonsingh5194 2 роки тому

    ❤️

  • @hyronvalkinson1749
    @hyronvalkinson1749 4 місяці тому

    This is clean, but I have to ask - why are we doing this? I have to solve this for some math exams but there's nothing afterwards, just "do it to do it".

  • @Nanahtx
    @Nanahtx Рік тому

    Bruh 👁️👄👁️ 😂