Find the reference angle and sketch both angles in standard position

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  • Опубліковано 9 лют 2025
  • 👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant to find the required reference angle.
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    Organized Videos:
    ✅ Angles in Trigonometry
    • Angles in Trigonometry
    ✅ Solve Problems with Arc Length
    • Solve Problems with Ar...
    ✅ Angles in Trigonometry | Learn about
    • Angles in Trigonometry...
    ✅ Sketch Angles in Standard Position
    • Sketch Angles in Stand...
    ✅ Find the Quadrant of the Angle
    • Find the Quadrant of t...
    ✅ Find the Reference Angle
    • Find the Reference Angle
    ✅ Complement and Supplement of an Angle
    • Complement and Supplem...
    ✅ Convert Radians to Degrees
    • Convert Radians to Deg...
    ✅ Convert Degrees to Radians
    • Convert Degrees to Rad...
    ✅ Convert Degrees to Degree Minute Seconds
    • Convert Degrees to Deg...
    ✅ Convert Degree Minute Seconds to Degrees
    • Convert Degree Minute ...
    ✅ Coterminal Angles | Learn About
    • Coterminal Angles | Le...
    ✅ Find Coterminal Angles | 0 and 2pi
    • Find Coterminal Angles...
    ✅ Find Coterminal Angles | 0 and 360
    • Find Coterminal Angles...
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КОМЕНТАРІ • 53

  • @HellFire26
    @HellFire26 5 років тому +82

    This guy is more useful than my math teacher. Well done good sir

  • @chrisramirez3600
    @chrisramirez3600 4 роки тому +7

    You’re a life saver right now with quarantine, thank you 🙏🏽

  • @ChandlerWorthen
    @ChandlerWorthen 7 років тому +149

    I just can't seem to understand this for my life man.

    • @brianmclogan
      @brianmclogan  7 років тому +5

      graphing angles in standard form?

    • @ChandlerWorthen
      @ChandlerWorthen 7 років тому +8

      Brian McLogan Actually I finally figured it out. I kept watching your video over and over until it sunk in. Thank you thank you thank you my good sir.

    • @brianmclogan
      @brianmclogan  7 років тому +25

      you are very welcome! I have a lot of videos on the topic but glad it finally sunk in

    • @abhishekyadav6456
      @abhishekyadav6456 3 роки тому +1

      Hello sir iam from india

  • @andrewbushby1703
    @andrewbushby1703 6 років тому +9

    Thanks again Brian, your videos have really helped. You have a knack for making the process make sense, not just following the steps.

  • @wyncollette_7412
    @wyncollette_7412 4 роки тому +1

    bruh, i got it. I just kept on looking back and forth with the unit circle and video. Thank you Sir!

  • @kale3007
    @kale3007 4 роки тому +16

    2021 and I still cant understand this

  • @Zeeviex
    @Zeeviex 5 років тому +1

    This saved me so much time of understanding what the denominator and numerator mean when it comes to what they do in the unit circle. The fact that it was a fraction confused me but knowing the numerator is going to be a number with pi, therefore states how many (half circle) times it'll it wil spin in a sense. Denominator is still a little tricky though

  • @BaileyRobinsonNitroDax18
    @BaileyRobinsonNitroDax18 4 роки тому

    You are a hero

  • @willm3027
    @willm3027 5 років тому

    You made this is so simple! Thank you!

  • @jessicagomezbermudez4068
    @jessicagomezbermudez4068 4 роки тому

    Very helpful. Your better then my Russian profesor. Thank you

  • @Displ4c
    @Displ4c 5 років тому

    Thanks

  • @speedlearner
    @speedlearner 11 років тому +11

    Who created the reference angle?

    • @brianmclogan
      @brianmclogan  11 років тому +1

      haha sir reference angle himself, just a helpful way to evaluate angles they are not a must though

    • @Pete-Prolly
      @Pete-Prolly 6 років тому +2

      Perhaps someone running in circles to get to -10π/3 but wanted to walk less? LOL
      (I know Im 4years late to the joke but I'm taking Trig now. My teachers good, I just like it explained as many different ways as possible)

  • @Rocityman
    @Rocityman 3 роки тому +5

    How in the world is he counting these lines on the graph? Looks like he's skipping some and not others. I'm so lost.

  • @jaesiraki84
    @jaesiraki84 3 роки тому +2

    I do not get it. :(

  • @Napolitics
    @Napolitics 7 років тому +6

    Thank u so much since I left China my math ability decreased!

    • @brianmclogan
      @brianmclogan  7 років тому +4

      ahhh, happy to be able to help you out!

  • @Ziggy0120
    @Ziggy0120 6 років тому

    this man is the GOAT

  • @alondradelamora0917
    @alondradelamora0917 3 роки тому +1

    I’m so confused on the graphing portion :/ all of it confuses me, such as how many quadrants are you supposed to have and how do you know, and how do you know what each side is equal to…

  • @justtraininsanity8463
    @justtraininsanity8463 4 роки тому

    What if I have a problem like 28π/9... for the refernece angle do I need a denominator thats on the unit circle like 3, 4, or 6?

  • @flosscandies
    @flosscandies 4 роки тому

    I think I cried when I say I got the problem I was working on was correct thanks to this video, although I had to guess since it was -6π/5

  • @tylernelson8094
    @tylernelson8094 6 років тому +2

    are all reference angles just pi over the original denominator?

    • @brianmclogan
      @brianmclogan  6 років тому +2

      I actually never realized that but the answer to your question is yes

  • @icame4btstakethathoweverwa20
    @icame4btstakethathoweverwa20 6 років тому +5

    Was this in English? Can you make another video in English please?

  • @brianmclogan
    @brianmclogan  12 років тому +3

    Maybe it's the weight I lost?

    • @kale3007
      @kale3007 4 роки тому

      Im sorry but your weight loss, actually made things more confusing

  • @joemorrison4143
    @joemorrison4143 6 років тому

    I need help badly. I'm in Algebra 3-4 and stuck on a question. The question is what is a reference angle but when I put your definition it didn't help

  • @alexboughlef9280
    @alexboughlef9280 7 років тому +1

    Can you also keep adding two pi instead of 6 pi over 3?

    • @brianmclogan
      @brianmclogan  7 років тому +1

      yes but I added 6pi/3 since it has common denominator

  • @articnexas2548
    @articnexas2548 5 років тому +2

    I know this already
    But why am I watching this??

  • @xavierrosales3159
    @xavierrosales3159 4 роки тому

    why the 6pi/3?

  • @heleng3450
    @heleng3450 5 років тому

    Can't you just put 10pi/3 into a mixed fraction so 3 and 2pi/3 and so the ref angle is just pi/3?

  • @aarishhanif1402
    @aarishhanif1402 5 років тому +1

    HHEE HEEEEE, all i needed was that CHEAT SHEET MUAHAHAHA

  • @slayarie
    @slayarie 5 років тому +1

    why

  • @slayarie
    @slayarie 5 років тому +2

    im dying

  • @nf3288
    @nf3288 6 років тому

    So what happens if the reference angle is lets say: 3.7 do we just take 3.7 - 3.14 ?

    • @brianmclogan
      @brianmclogan  6 років тому

      if the angle is 3.7 then yes the reference angle will be 3.7-pi

    • @nf3288
      @nf3288 6 років тому

      Wow thank you so much. I spend more time watching your videos than watching my own professor. I'll be watching all of your videos this semester, so I'm prepared ha :) You're the greatest. Eventually going to join your channel. Worth every penny!

    • @brianmclogan
      @brianmclogan  6 років тому

      Just happy to be able to help you out Neiko!!!

    • @joemorrison4143
      @joemorrison4143 6 років тому

      @@brianmclogan I need help. I take Algebra 3-4 and I'm asked what is a reference angle and when I take your definition it don't help

  • @slayarie
    @slayarie 5 років тому

    i dont understand

    • @Nathan41737
      @Nathan41737 5 років тому +2

      Bruh, he's just explaining it in a more complex way. Just look at the denominator and your good. No need to worry about the process

    • @articnexas2548
      @articnexas2548 5 років тому

      Nathan 4173 yes, I agree, this dumb areal idoit is some fkn crap

  • @pillowyflunky9931
    @pillowyflunky9931 2 роки тому

    thanks