Learn how to evaluate using the half angle formula of sine

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  • เผยแพร่เมื่อ 15 ต.ค. 2024
  • 👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not on the unit circle. To evaluate all we need to do is enter the angle into the formula and simplify. Rationalizing the denominator is not required but often is asked to be performed.
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    ✅ Half Angle Formulas
    • Half Angle Formulas
    ✅ Evaluate Half Angle Formulas of and Angle
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    ✅ Evaluate Half Angle Formulas from a triangle
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ความคิดเห็น • 46

  • @williamstephenjones3863
    @williamstephenjones3863 3 ปีที่แล้ว +19

    Dear Brian, can't thank you enough for this explanation. I'm a mature student in the midst of a maths module for a physics degree. I've been doing just fine until half-angles. I just couldn't get it to click in my mind. Your video has done just this. Please know that (I think) you are contributing to the overall net positivity in the world in sharing your knowledge. Best, Will.

    • @jordangertino1867
      @jordangertino1867 3 ปีที่แล้ว +1

      I have a Geometric Proof on my channel I need visual representations personally.

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +40

    you are very welcome! happy to help

  • @faizahjamalallail1437
    @faizahjamalallail1437 5 ปีที่แล้ว +23

    LOVE THE WAY YOU EXPLAIN THINGS THANK YOU I WAS STRUGGLING

  • @roelortiz4303
    @roelortiz4303 2 ปีที่แล้ว +6

    Thank you so much mr. Logan,, I've been trying think on how the half angle identity formula was derived for about 2 hours, and after watching your video, I've got it in less than 3 minutes! Again thank you sir ,

    • @brianmclogan
      @brianmclogan  2 ปีที่แล้ว +1

      You are so
      Very welcome!

  • @davidsandoval3683
    @davidsandoval3683 6 ปีที่แล้ว +108

    freaking Rachel wth

  • @yasmineyasmine8059
    @yasmineyasmine8059 2 ปีที่แล้ว

    Thank you very much for showing the first steps, I was lost for couple of weeks because of the first step. Thank you much!!!!!

  • @wildfirestudios4868
    @wildfirestudios4868 5 ปีที่แล้ว +44

    Rip to all the rachels watching this video

  • @HusenMohammed-v1r
    @HusenMohammed-v1r 8 หลายเดือนก่อน

    Wow I am from Ethiopian I don't enough words to thanks

  • @emilymariano2354
    @emilymariano2354 2 ปีที่แล้ว

    Is this a high school class you're teaching? Because I'm tutoring this lesson right now to some senior high students but I need first to review for it myself because it's been so long since I have taken this lesson.

  • @shamsali2035
    @shamsali2035 4 ปีที่แล้ว

    Seriously you are awesome...easy to follow..
    I appreciate you

  • @SuperLazyCat
    @SuperLazyCat 6 ปีที่แล้ว +6

    thank you so much. Got finals this helped a bunch.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome! happy to be able to help

  • @zachroth7454
    @zachroth7454 4 ปีที่แล้ว +2

    Extremely helpful, thank you!

  • @V.Z.69
    @V.Z.69 5 ปีที่แล้ว +2

    4:43 what you really want to say is, "we are merely multiplying by ONE".

  • @nighthunterian684
    @nighthunterian684 6 หลายเดือนก่อน

    i don't understand what you did at the end, how you got 1/2

  • @mountcarmel7116
    @mountcarmel7116 4 ปีที่แล้ว

    Thanks for a clear explanation.

  • @PerplexedGibbon
    @PerplexedGibbon 4 ปีที่แล้ว +5

    Dude I know what that chick was talking about. I tried that, eliminating the 2 up top before moving on to the bottom, but if you do that you end up with a radical in the denominator and when you try to rationalize it, it screws everything up.

  • @elodieramburrun138
    @elodieramburrun138 4 ปีที่แล้ว

    Can you help me with this question: Determine a value of x for each of the following. Give answers in simplest exact form. sin(8π/23)=sinx, x not equal to 8π/23.

  • @vlalto
    @vlalto 11 ปีที่แล้ว +2

    Thank you for this!

  • @ohenbridges688
    @ohenbridges688 2 ปีที่แล้ว

    Thank you so much🙏

  • @irinagrigoryan2874
    @irinagrigoryan2874 6 ปีที่แล้ว +2

    Thank you!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome Irina!

  • @pokerboy72
    @pokerboy72 4 ปีที่แล้ว +1

    Thank u sir

  • @candralyons6861
    @candralyons6861 4 ปีที่แล้ว

    How does( rt(rt2)) simplify to just rt(2)?

  • @jitterrypokery1526
    @jitterrypokery1526 5 ปีที่แล้ว

    Why did you pick the x value cordinate and noth the y value cordinate?

    • @barsouth2478
      @barsouth2478 5 ปีที่แล้ว

      because cos is tequal to the x value

    • @oj214
      @oj214 ปีที่แล้ว

      Why is the sign positive? Cosine is negative in quadrant 2.

  • @michaelandrews6716
    @michaelandrews6716 4 ปีที่แล้ว +1

    what do you teach in your school

    • @bigredone1030
      @bigredone1030 4 ปีที่แล้ว +1

      He teaches art

    • @GeoCalifornian
      @GeoCalifornian 4 ปีที่แล้ว +1

      Michael Andrews ...Brian McLogan teaches the art of mathematics.

    • @bigredone1030
      @bigredone1030 4 ปีที่แล้ว +1

      George Obregon no he teacher visual arts and specializes in engraving

    • @KMMeler
      @KMMeler 4 ปีที่แล้ว +4

      Underwater basket weaving

  • @caleb.9
    @caleb.9 10 หลายเดือนก่อน +1

    Yall can still turn to Christ God bless

  • @ahmadke8950
    @ahmadke8950 5 ปีที่แล้ว

    Was perfect professor

  • @jayveebernaldez1087
    @jayveebernaldez1087 3 ปีที่แล้ว +2

    The first problem he shown is literally the problem that we have to solve written on our sheets wth

  • @idria2736
    @idria2736 5 ปีที่แล้ว +3

    k rachel?

  • @kylephan1895
    @kylephan1895 4 ปีที่แล้ว

    just change it to angle and your life will be easier

  • @megalucario2321
    @megalucario2321 2 ปีที่แล้ว

    I'm not able to follow this at all I can't wait to fail my class and then never be able to graduate

  • @pokerboy72
    @pokerboy72 4 ปีที่แล้ว +2

    I hate simply piano

  • @TheFarmanimalfriend
    @TheFarmanimalfriend 4 ปีที่แล้ว

    u=3pi/8, Sin(3pi/8) = sin[(3/8)pi] which is in the 1st quadrant. 'u' is given. 3pi/4+3pi/4 = 3pi/2! How is it possible top be so wrong? Have you no shame?