Deriving the half angle formula for Tangent

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  • เผยแพร่เมื่อ 20 ธ.ค. 2024

ความคิดเห็น • 18

  • @ryanjohansson8832
    @ryanjohansson8832 8 หลายเดือนก่อน +2

    I was trying to derive the formula but was stuck after I got to the absolute value and plus/minus. Glad I found this video. Thanks!!

  • @mathsplus01
    @mathsplus01 2 ปีที่แล้ว +2

    Very direct approach there with substituting in the x/2, really worked a treat. Thanks Owls School of Math 🙏🙏🙏❤💯

    • @owlsschoolofmath9732
      @owlsschoolofmath9732  2 ปีที่แล้ว +1

      Hi Maths Plus. Thank you and appreciate it 😀👍 Have a great day sir!

  • @abodamdfr2298
    @abodamdfr2298 3 หลายเดือนก่อน +2

    Thanks for the video
    It made me understand where did the +- go

  • @nid7819
    @nid7819 2 ปีที่แล้ว +1

    An other method for those who don’t want to remember the trig formulas is using the exponential form of cos and sin, you just then multiply the denominator by the conjugate, you simplify and you get it

  • @d.h.y
    @d.h.y ปีที่แล้ว +1

    You've already done the video at here xD So helpful🤓🤓

    • @owlsschoolofmath9732
      @owlsschoolofmath9732  ปีที่แล้ว

      Hey dh y. Did you just follow the link from the other video?

    • @d.h.y
      @d.h.y ปีที่แล้ว +1

      @@owlsschoolofmath9732 Yup! I prefer to do that 😆😆

    • @d.h.y
      @d.h.y ปีที่แล้ว +1

      Owls Math~ I may suggest a video series which could drag some new viewers in the future,,,maybe as time goes 🤔🤔I usually refer to David Joyce's "Summary of trigonometric identities"(you can search on Google with this keyword!) page for quick reference of trig identities,,, You've already done several videos on them, so why don't you eventually make a video series(making the video series as one youtube playlist) of proving the trig identities introduced on that page? You may add some more or less videos on your discretion,,such as including your proof video on hyperbolic series,,,! I don't think those kind of video series will drag some explosive number of viewers instantly,,, as you've mentioned the other day,,,,but if it exists then it would be one of the few standard references on the internet,,,and if we think about some marketing strategy that grocery stores sell eggs to draw some customers to make them look at other groceries,,,I think it would be eventually a plus to your channel's growth!!
      This is just a suggestion and I don't think even I won't need all of the proof videos regarding trig identities right now,,, Just please consider doing them in some long term while managing your youtube channel😃😃

    • @owlsschoolofmath9732
      @owlsschoolofmath9732  ปีที่แล้ว +1

      @@d.h.y Hi! It's a good idea. I definitely plan to do more of those derivations! And kind of as you say there aren't that many sources that explain it completely or they can be hard to find. Don't know if you have seen the Trig cheat sheet on my web page but I continue to update that and I have from that a derivations page that needs a lot of things added. But I also want basically the video version of that derivations page (multiple videos of course). So short answer "yes" but long term project. 😁😁😁

    • @d.h.y
      @d.h.y ปีที่แล้ว +1

      @@owlsschoolofmath9732 HoHoHo~~~ Yes, math happens in long term and I'm also aiming to do math in long term 😆😆 Following your channel with enthusiasm and looking forward to see what's waiting in the future 😁😁😁 ,,,and I've only known the page of 'Trig Cheat Sheet' but not 'Trig Formula Derivations'. Thank you for noticing me! I've bookmarked the page xD

  • @prollysine
    @prollysine 2 ปีที่แล้ว +4

    Hi Owls ! proof of equality : u= (x/2) tan(x/2)=tan(u) = ---> (sinu*sinu)/(cosu*sinu) -> (sinu)^2/(sinu*cosu) -> ((1/2)*(1-cos2u))/((1/2)*sin2u) -> (1-cos2u)/sin2u --> | u=(x/2) x=(2u) | --->>
    -->> ||| (1-cosx)/sinx |||

    • @owlsschoolofmath9732
      @owlsschoolofmath9732  2 ปีที่แล้ว +1

      Hi prollysine. Thanks! Great method!!! Love it. 👍👍👍

  • @spudjackson9146
    @spudjackson9146 หลายเดือนก่อน +1

    w video