An Exponential Trigonometric Equation

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  • เผยแพร่เมื่อ 25 พ.ย. 2024

ความคิดเห็น • 36

  • @JXS63J
    @JXS63J ปีที่แล้ว +19

    Either some mafia-type threatened your life for saying "or not 2B" or you have a sore throat. So you should either call the cops or a doctor. Get well!

    • @Jha-s-kitchen
      @Jha-s-kitchen ปีที่แล้ว +1

      Well said 😂

    • @SyberMath
      @SyberMath  ปีที่แล้ว +4

      It's the viruses that attacked my vocal chords. They are too powerful and impossible to fight!

  • @rakeshsrivastava1122
    @rakeshsrivastava1122 ปีที่แล้ว +2

    Wish you speedy recovery.

    • @SyberMath
      @SyberMath  ปีที่แล้ว

      Thank you! 💖

  • @rorydaulton6858
    @rorydaulton6858 ปีที่แล้ว +2

    Another, more elegant way to list all the solutions is x = (3k±1) * pi/6, or perhaps k*pi/2 ± pi/6, for integer values of k. (I used k rather than n since the idea of these integer values differs from the idea used in your video.)

  • @josecarlosconejo5724
    @josecarlosconejo5724 ปีที่แล้ว +2

    Beautiful exercise!!

    • @SyberMath
      @SyberMath  ปีที่แล้ว

      Glad to hear that

  • @-basicmaths862
    @-basicmaths862 ปีที่แล้ว +1

    Substitute 16^sin^2x=t & solving We get the value of x

  • @hyperbolic9821
    @hyperbolic9821 ปีที่แล้ว +5

    Hey, are you alright? Your voice seems down these videos. Hope everything is okay for you. I can't completely understand what you are going through, I pray it becomes wonderful for you.
    P.S. Interesting problem indeed.
    Have a great day ahead.

    • @SyberMath
      @SyberMath  ปีที่แล้ว

      Thank you! I had sore throat and had lost my voice! Have you seen it?
      Feeling better now. 🧡

  • @felaxwindwalker206
    @felaxwindwalker206 ปีที่แล้ว +2

    I set a=16^(sin^2 x) and b=16^(cos^2 x). Our given equation gives us that a+b=10, and we can f out that ab=16^(sin^2 x+cos^2 x)=16. That means we can use the binomial formula to give us that a and b are the roots of the equation u^2-10u+16, which is pretty much the formula you solved.

    • @felaxwindwalker206
      @felaxwindwalker206 ปีที่แล้ว

      I meant the quadratic formula. Not quite sure why I had binomial on the brain.

    • @seroujghazarian6343
      @seroujghazarian6343 ปีที่แล้ว

      You only need a, because b=16/a

    • @felaxwindwalker206
      @felaxwindwalker206 ปีที่แล้ว

      @@seroujghazarian6343 That's true, and that's one way to do it. This is just another.

    • @seroujghazarian6343
      @seroujghazarian6343 ปีที่แล้ว

      @@felaxwindwalker206 they're almost equivalent anyway.

    • @felaxwindwalker206
      @felaxwindwalker206 ปีที่แล้ว

      @@seroujghazarian6343 That's true, too, but one of the beautiful things about math is that you can solve problems in many different ways, each of which can be a "correct" way. This still got to the solution and wasn't exactly a "no pain, no gain" approach.

  • @damiennortier8942
    @damiennortier8942 ปีที่แล้ว +1

    Here's an idea for a video : simplify a trigonometric equation like sinx/cosx + secx/tanx

  • @TechyMage
    @TechyMage ปีที่แล้ว

    multiply by 16^sin^2 x or 16^cos^2 x solve the quadratic and u r done

  • @popitripodi573
    @popitripodi573 ปีที่แล้ว

    I like trigonometric equations!!!!I am glad to be able to solve it !!!

  • @BrahimHASSANI
    @BrahimHASSANI ปีที่แล้ว +1

    You seem sick.. May Allah give u a prompt good health soon. Amen

  • @diptirindani8190
    @diptirindani8190 ปีที่แล้ว +2

    This is jee main pyq

  • @broytingaravsol
    @broytingaravsol ปีที่แล้ว

    ±π/6, ±π/3 and their alignment angles

    • @HoSza1
      @HoSza1 ปีที่แล้ว

      ±π/12 and their alignment angles, fundamenral period: pi/2.

  • @rakenzarnsworld2
    @rakenzarnsworld2 ปีที่แล้ว

    x = 0.5736 or 1.1472

  • @alextang4688
    @alextang4688 ปีที่แล้ว

    Good exercise for secondary school. ☺☺☺☺☺☺

  • @drizzlefootpie2699
    @drizzlefootpie2699 ปีที่แล้ว

    Yay

  • @Jha-s-kitchen
    @Jha-s-kitchen ปีที่แล้ว

    Throat problem again? Get well soon!

    • @SyberMath
      @SyberMath  ปีที่แล้ว

      Yes! Thank you 🥰

  • @aldendomino3523
    @aldendomino3523 ปีที่แล้ว

    Lost me at pi