De Moivre's Theorem and How to Use It

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  • เผยแพร่เมื่อ 25 ธ.ค. 2024

ความคิดเห็น • 18

  • @KMMOS1
    @KMMOS1 2 ปีที่แล้ว +22

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

  • @jacquelinengandwe4461
    @jacquelinengandwe4461 2 ปีที่แล้ว +1

    Awesome intro on the theorem

  • @escribidormadrid3463
    @escribidormadrid3463 7 หลายเดือนก่อน +1

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

    • @orangekraft3472
      @orangekraft3472 7 หลายเดือนก่อน

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

    • @Reallycoolguy1369
      @Reallycoolguy1369 7 หลายเดือนก่อน +1

      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
      @escribidormadrid3463 7 หลายเดือนก่อน +1

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

  • @poramessianparapio9547
    @poramessianparapio9547 ปีที่แล้ว

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

    • @pho4nix191
      @pho4nix191 7 หลายเดือนก่อน +1

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    • @lightningkachowski5948
      @lightningkachowski5948 7 หลายเดือนก่อน

      @@pho4nix191absolute legend

    • @gustavgille9323
      @gustavgille9323 6 หลายเดือนก่อน

      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)

  • @Love_hardwork
    @Love_hardwork 2 ปีที่แล้ว +2

    tomorrow i have exam in it

  • @thapelomailola8216
    @thapelomailola8216 ปีที่แล้ว

    I'm asking for help for Complex calculation

  • @kamleshdatt1999
    @kamleshdatt1999 2 ปีที่แล้ว +4

    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

  • @Patricialupande-yb8et
    @Patricialupande-yb8et ปีที่แล้ว

    🎉🎉

  • @sony3387
    @sony3387 ปีที่แล้ว +2

    ❤🎉🤝🌝