Find the reference angle and sketch both angles in standard position

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  • Опубліковано 8 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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    ✅ Sketch Angles in Standard Position
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    ✅ Find the Quadrant of the Angle
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КОМЕНТАРІ • 100

  • @ameralamer7456
    @ameralamer7456 7 років тому +178

    Short, clear, and to the point. Liked and subscribed. Thank you sir.

  • @user-clo
    @user-clo 3 роки тому +19

    this guy is a life saver, i wish my teacher just played your videos

  • @chelseataura
    @chelseataura 4 роки тому +19

    So simple and explained perfectly well. Was confused about a part of my homework but now I know!! Thank you so much, God bless you!

  • @jamgals123
    @jamgals123 6 років тому +9

    You’re the man. Helping me with my midterm. Thanks a bunch

  • @jocelynhern8087
    @jocelynhern8087 5 років тому +9

    Bless this man. You are the reason I'm passing my math class tbh

  • @ShadowDukePTCG
    @ShadowDukePTCG 3 роки тому +1

    I think it's crazy how I'm watching this video nearly 10 years after it was posted. In 2012 I had no idea this was even a thing haha. Regardless, thank you this was very helpful!

  • @jainmpatel5243
    @jainmpatel5243 Рік тому

    Thank you very much for making this video I was struggling with this but after watching the video I suddenly realised where I was lacking. Thank you once again.

  • @Anon1_07
    @Anon1_07 6 років тому +2

    YOU ARE BETTER THAN MY TEACHER LIKE REALLY I GET IT IN A FEW MINUTES RATHER THAN WAITING FOR AN HOUR TO GET IT THANX TO YOU SIR

  • @yeny7194
    @yeny7194 6 років тому +26

    omg you're the best explainer in the world! This is my first time seeing this stuff and it's such a hard concept for me but this definitelyh helped.

    • @brianmclogan
      @brianmclogan  6 років тому +1

      awesome! happy to be there for you!

  • @edmarbaruela6841
    @edmarbaruela6841 3 роки тому

    i like how you explain the topic,, it is very clear , short but direct to the topic

  • @perlagodinez3055
    @perlagodinez3055 3 роки тому +1

    This made so much sense to be thank you!! It really helps with how you explained it!! Now I understand it a better

  • @managgased4875
    @managgased4875 4 роки тому +6

    Thank you my teacher can barely speak English and I’m doing digital learning.

  • @azuresa6671
    @azuresa6671 4 роки тому +1

    You never failed of giving me the best math tutorial. You're the best man!! The best!

  • @hashimal3bdali347
    @hashimal3bdali347 5 років тому +5

    Thanksssss man love from saudo arabia 😊

  • @najma5520
    @najma5520 5 років тому +1

    Well done sir.
    It’s way much better than how my teacher explains makin it hard to understand. But this video 😭❤️❤️❤️❤️❤️makin look easy
    Thanks 🙏

  • @aaronc2171
    @aaronc2171 4 роки тому

    Thanks Mr. McLogan

  • @EngineermanCullen
    @EngineermanCullen 4 роки тому

    Nice video thanks! Short and concise!

  • @jugginator4390
    @jugginator4390 6 років тому

    Golden. I knew how to get it but I was struggling to understand why -- and that opens many more doors than just knowing how to solve it in a technique. Thank you, again!

  • @darellarocho-leon3986
    @darellarocho-leon3986 5 років тому +3

    This helped a lot! Thank you so much!

  • @euelyap8375
    @euelyap8375 5 років тому +17

    Is this still active? What if its positive 145 do you just immediately 180-145?

    • @mounandi9163
      @mounandi9163 4 роки тому

      yes. in that case, you just subtract the angle from 180 because it's in the second quadrant.

    • @hello-yp9kr
      @hello-yp9kr 4 роки тому +3

      @@mounandi9163 lol you replied a year after

    • @katsukibakugou5854
      @katsukibakugou5854 4 роки тому

      Haha

    • @Fac31ess
      @Fac31ess 4 роки тому +1

      @@hello-yp9kr lol

  • @jollyelmroot
    @jollyelmroot 4 роки тому

    Brilliant. Your videos always help!!!

  • @abdullahbander2215
    @abdullahbander2215 5 років тому +1

    Thanks Mr.Brian

  • @jaesiraki84
    @jaesiraki84 3 роки тому

    Excellent video

  • @zz-oz8vk
    @zz-oz8vk 6 років тому +1

    Short and clear thank you sir

  • @layans5140
    @layans5140 4 роки тому

    You such a saviour, thank you so much .

  • @evyeniamouratoglou6329
    @evyeniamouratoglou6329 3 роки тому

    This is so helpful thank you so much

  • @Tantalo96
    @Tantalo96 10 років тому +4

    Thank you

  • @jessicaloja9146
    @jessicaloja9146 3 роки тому

    very clear, thank you

  • @christianbayno8562
    @christianbayno8562 6 років тому

    Thank you Mr. McLogan

  • @jenniferlopez901
    @jenniferlopez901 4 роки тому

    Im learning this during quarentine , but the textbook is so confusing. Thanks for this!!!!

  • @semeionhurst2220
    @semeionhurst2220 4 роки тому

    Definitely helped 💯

  • @JuiceyJiggy
    @JuiceyJiggy 3 роки тому

    Wow it was that easy 😳🤯😭

  • @Mackentosh_JL
    @Mackentosh_JL 5 років тому

    thank you, very helpful

  • @navdeepkaur2343
    @navdeepkaur2343 6 років тому

    Finally u sir r here thankyouverymuch

  • @wexer82
    @wexer82 4 роки тому

    Thank you.

  • @osamaal-mikhlafi878
    @osamaal-mikhlafi878 5 років тому

    Thanks a lot

  • @cascade7641
    @cascade7641 6 років тому +1

    thank you so much

  • @max-or7yx
    @max-or7yx 5 років тому +27

    can you legit be my teacher?

  • @rosalindagarcia7249
    @rosalindagarcia7249 5 років тому

    Just wanted to say thank you 💝🥴

  • @itzmecharger1489
    @itzmecharger1489 4 роки тому

    way better than watching a 12min video 👍

  • @cofieleven
    @cofieleven 7 років тому

    can one find a side length using the 90 degree right angle instead of the other two unknown angles? and if you can, which side is opp and adj since thaida is resting on the right angle?

    • @brianmclogan
      @brianmclogan  7 років тому

      to find the reference angle just find the distance from the terminal side to the x-axis, are you asking a different question?

  • @julianas.3352
    @julianas.3352 4 роки тому +3

    HAHA, funny thing, this is the exact same problem. Thanks man.

    • @marvtan8209
      @marvtan8209 3 роки тому

      Its a pleasant surprise to see someone with the fire keeper as their profile picture, under a video where I would last expect to see one. cant wait for elden ring!!

    • @julianas.3352
      @julianas.3352 3 роки тому

      @@marvtan8209 OOOOOOHHHH

  • @leenaali5999
    @leenaali5999 6 років тому

    Thank you so much 💕💕

  • @ejiellian1252
    @ejiellian1252 6 років тому

    Thank you 😊

  • @alhaigemarajan821
    @alhaigemarajan821 5 років тому

    Does minus 360 is constant when the given angle is negative? I'm just confused.

  • @brettchiotasso705
    @brettchiotasso705 6 років тому +1

    liked and Subscribed ty :)

  • @jakestewart3509
    @jakestewart3509 6 років тому

    Would the answer come out negative if theta was initially a positive?

  • @navajohnny76
    @navajohnny76 7 років тому

    Well done.

  • @scrubbgaming
    @scrubbgaming 5 років тому +2

    There's also different formulas for the other quadrants I'd recommend anybody who is still stuck to look it up

  • @Titanic31002
    @Titanic31002 6 років тому +2

    How about a positive reference angle?

    • @shabadoo3705
      @shabadoo3705 6 років тому +1

      you just subtract it by 180 or by 180 or by 360 depending on which quadrant it is located on

  • @parisgharbi1903
    @parisgharbi1903 4 роки тому

    what do you do if your theta has 4 digits like -3080?

    • @gregoryharlston0602
      @gregoryharlston0602 4 роки тому

      Divide 3080 by 360 and you get 8.555555 repeating. This means you go around the unit circle 8 times in clockwise direction. So subtract the 8 and you're left with .5555555 repeating. What's left represents a degree measure of -200 degrees. Now just do what Mr. McLogan explained in this video. The angles have to be between 0 and - 360 or 0 and 360, so you have to simplify. Kind of like simplifying a fraction--for example, 24/36 is equivalent to 2/3 after it is simplified. -3080 is equivalent to -200 degrees after it is simplified. I hope this makes sense..

  • @ilychawn
    @ilychawn 3 роки тому

    Finals tmr baby

  • @Karen-st4sq
    @Karen-st4sq 7 років тому

    Thank you!!

  • @walterkirkpatrick9951
    @walterkirkpatrick9951 5 років тому

    Your amazing

  • @aaronkingforonda4112
    @aaronkingforonda4112 4 роки тому

    How about the positive sir

  • @walterkirkpatrick9951
    @walterkirkpatrick9951 5 років тому

    Can someone explain how do I know which quadrant it is? Still confused on that

    • @erikrodriguez8383
      @erikrodriguez8383 5 років тому

      Quadrant 1 is in the top right, and then you count counter clockwise for each quadrant

    • @walterkirkpatrick9951
      @walterkirkpatrick9951 5 років тому

      @@erikrodriguez8383 thanks alot

  • @aahilmohammad9884
    @aahilmohammad9884 6 років тому

    your the best

    • @brianmclogan
      @brianmclogan  6 років тому +1

      happy to be able to help you out!

  • @rrzmls568
    @rrzmls568 4 роки тому

    How can reference angle be identical to standard position?

  • @saifhamami2030
    @saifhamami2030 4 роки тому

    You are a G

  • @moviesonrequesthd7198
    @moviesonrequesthd7198 6 років тому

    Thank u but I have a question I thought in the third quadrant it's 180+ alpha

    • @brianmclogan
      @brianmclogan  6 років тому +1

      It would be alpha -180 when alpha is positive, in this example the angle negative so we have to have a different approach

  • @carlosamado9571
    @carlosamado9571 5 років тому

    You da man!!!

  • @darkl5855
    @darkl5855 4 роки тому +1

    GRRRRRRRRR POWWWWWWWWWWWW THANKS

  • @Nikkizsche
    @Nikkizsche 5 років тому +4

    Or, you could do 180-145 :)

  • @conniedolati6573
    @conniedolati6573 4 роки тому +1

    am i the only one here bc of online schooling😔 2020

  • @محمدالجهني-ط1ج6ه
    @محمدالجهني-ط1ج6ه 5 років тому

    😘

  • @michaildysart1115
    @michaildysart1115 7 років тому +2

    cant grow hair on ur head so u grow hair on ur upper lip

  • @suoodhajer5794
    @suoodhajer5794 6 років тому

    Thank you so much ❤️🌹

  • @EddieOverwatch
    @EddieOverwatch 7 років тому

    Thank You