Another Very Interesting Exponential Formula | Problem 381

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  • เผยแพร่เมื่อ 5 ต.ค. 2024
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    This problem was suggested by ‪@RuleofThehyperbolic‬ 🤩
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ความคิดเห็น • 13

  • @RuleofThehyperbolic
    @RuleofThehyperbolic 3 วันที่ผ่านมา +3

    I feel so honored 💝
    also I think its better to use the argument function even if its not as well defined as arctan

    • @aplusbi
      @aplusbi  3 วันที่ผ่านมา

      @@RuleofThehyperbolic glad to hear that! Keep up the good work 😍

  • @mcwulf25
    @mcwulf25 3 วันที่ผ่านมา +1

    I will try and memorise that. Never know when this general form will come in handy. 😂

    • @aplusbi
      @aplusbi  3 วันที่ผ่านมา

      @@mcwulf25 exactly, right? 😂😜

  • @Nobodyman181
    @Nobodyman181 3 วันที่ผ่านมา

    Beautiful formula

  • @scottleung9587
    @scottleung9587 3 วันที่ผ่านมา

    Nice, although messy!

  • @stevemonkey6666
    @stevemonkey6666 3 วันที่ผ่านมา

    Does it really work? If I said a, b, c, d. To equal 2, 0, 2, 0 then if I work through the formula in my head I get x = 1 and y = 0.... Don't understand what I'm doing wrong

    • @mcwulf25
      @mcwulf25 3 วันที่ผ่านมา

      Well arctan(b/a) with b=0 is 0 in first quadrant so with d=0 we get cos[]= 1 and sin[]=0.
      The exponent becomes e^((1/2)lna^2) = e^clna = (e^lna)^c = a^c
      Which is correct. If a=2,c=2 then x=4.

  • @xenvector
    @xenvector 2 วันที่ผ่านมา

    I understood the first 7 minutes and thought u kinda overcomplicated the start as we all know what r, tan equals to, yet then u idk just messed up my whole head and I have no clue how u calculated x+yi into the equation

  • @sum2integral
    @sum2integral 3 วันที่ผ่านมา

    why not generalize it even more? just kiddingbut it could be interesting 🤗 btw i really love your content ❤

    • @aplusbi
      @aplusbi  3 วันที่ผ่านมา +1

      @@sum2integral thank you! 😍

  • @sdspivey
    @sdspivey 3 วันที่ผ่านมา

    If A and B are both negative, then you will have the wrong Theta.

    • @aplusbi
      @aplusbi  3 วันที่ผ่านมา

      @@sdspivey exactly!