Prove that e^2iarctan(x) = (1 + ix)/(1 - ix) (ILIEKMATHPHYSICS)

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  • Опубліковано 17 гру 2024

КОМЕНТАРІ • 7

  • @tallevi5692
    @tallevi5692 16 днів тому +2

    I just love how each video leads to the next in a series of proofs. That's just beautiful, and your explanations are very clear. The best rigorous math channel I have seen and it's a journey to see you grow

  • @Keithfert490
    @Keithfert490 15 днів тому +1

    Can you use this along with some proofs of properties of the arctan defined in this way to prove euler's identity? Or maybe sin(x) and cos(x) are just defined to be the imaginary and real parts of e^(ix) under these assumptions? I've never seen it approached from this angle

  • @lorenzosaudito
    @lorenzosaudito 16 днів тому

    Is this a reupload from yesterday ?

  • @seherkasimoglu4596
    @seherkasimoglu4596 16 днів тому

    Can you prove that : if r|n than fr|fn... ( deriative in fibonacci series)
    Please...

    • @davidbrisbane7206
      @davidbrisbane7206 15 днів тому

      r|n if and only if ra = n.
      If and only if fra = fn.
      If and only if fr|fn.

    • @seherkasimoglu4596
      @seherkasimoglu4596 15 днів тому

      @davidbrisbane7206 F symbolizes the fibonacci sequence For example, if three divides six, the 3rd term of the Fibonacci series divides the 6th term.