Learn how to evaluate using the half angle formula of sine

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  • Опубліковано 10 гру 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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    Organized Videos:
    ✅ Half Angle Formulas
    • Half Angle Formulas
    ✅ Evaluate Half Angle Formulas of and Angle
    • Evaluate Half Angle Fo...
    ✅ Evaluate Half Angle Formulas from a triangle
    • Evaluate Half Angle Fo...
    ✅ Write the Expression as a single function | Half Angle Formulas
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    ✅ Solve Equations using Half Angle Formulas
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КОМЕНТАРІ • 46

  • @williamstephenjones3863
    @williamstephenjones3863 4 роки тому +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 роки тому +1

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

  • @faizahjamalallail1437
    @faizahjamalallail1437 5 років тому +23

    LOVE THE WAY YOU EXPLAIN THINGS THANK YOU I WAS STRUGGLING

  • @brianmclogan
    @brianmclogan  11 років тому +41

    you are very welcome! happy to help

  • @roelortiz4303
    @roelortiz4303 2 роки тому +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 ,

  • @wildfirestudios4868
    @wildfirestudios4868 5 років тому +45

    Rip to all the rachels watching this video

  • @davidsandoval3683
    @davidsandoval3683 6 років тому +109

    freaking Rachel wth

  • @yasmineyasmine8059
    @yasmineyasmine8059 2 роки тому

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

  • @shamsali2035
    @shamsali2035 4 роки тому

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

  • @zachroth7454
    @zachroth7454 5 років тому +2

    Extremely helpful, thank you!

  • @V.Z.69
    @V.Z.69 5 років тому +2

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

  • @SuperLazyCat
    @SuperLazyCat 6 років тому +6

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

    • @brianmclogan
      @brianmclogan  6 років тому

      you are very welcome! happy to be able to help

  • @caleb.9
    @caleb.9 Рік тому +1

    Yall can still turn to Christ God bless

  • @HusenMohammed-v1r
    @HusenMohammed-v1r 9 місяців тому

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

  • @mountcarmel7116
    @mountcarmel7116 5 років тому

    Thanks for a clear explanation.

  • @vlalto
    @vlalto 11 років тому +2

    Thank you for this!

  • @ohenbridges688
    @ohenbridges688 3 роки тому

    Thank you so much🙏

  • @irinagrigoryan2874
    @irinagrigoryan2874 6 років тому +2

    Thank you!

  • @pokerboy72
    @pokerboy72 4 роки тому +1

    Thank u sir

  • @ahmadke8950
    @ahmadke8950 5 років тому

    Was perfect professor

  • @emilymariano2354
    @emilymariano2354 2 роки тому

    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.

  • @PerplexedGibbon
    @PerplexedGibbon 4 роки тому +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.

  • @jayveebernaldez1087
    @jayveebernaldez1087 3 роки тому +2

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

  • @elodieramburrun138
    @elodieramburrun138 4 роки тому

    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.

  • @candralyons6861
    @candralyons6861 4 роки тому

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

  • @michaelandrews6716
    @michaelandrews6716 4 роки тому +1

    what do you teach in your school

    • @bigredone1030
      @bigredone1030 4 роки тому +1

      He teaches art

    • @GeoCalifornian
      @GeoCalifornian 4 роки тому +1

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

    • @bigredone1030
      @bigredone1030 4 роки тому +1

      George Obregon no he teacher visual arts and specializes in engraving

    • @KMMeler
      @KMMeler 4 роки тому +4

      Underwater basket weaving

  • @idria2736
    @idria2736 6 років тому +3

    k rachel?

  • @jitterrypokery1526
    @jitterrypokery1526 5 років тому

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

    • @barsouth2478
      @barsouth2478 5 років тому

      because cos is tequal to the x value

    • @oj214
      @oj214 Рік тому

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

  • @nighthunterian684
    @nighthunterian684 8 місяців тому

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

  • @kylephan1895
    @kylephan1895 4 роки тому

    just change it to angle and your life will be easier

  • @megalucario2321
    @megalucario2321 2 роки тому

    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 роки тому +2

    I hate simply piano

  • @TheFarmanimalfriend
    @TheFarmanimalfriend 4 роки тому

    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?