How to determine the point on the unit circle given an angle

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  • Опубліковано 12 гру 2024

КОМЕНТАРІ • 85

  • @adrimakesmusic2997
    @adrimakesmusic2997 4 роки тому +51

    1:39 That is the best human-drawn half circle that I have ever seen!

  • @yuhhhhhhhhhhhhhhhhhhhhhhh
    @yuhhhhhhhhhhhhhhhhhhhhhhh 4 роки тому +33

    Given the fact that we are doing online college and I haven't seen my professor's face this whole semester.. this saved me because I have been working on the topic for 3 days now on my own and I was close to throwing in the towel.

    • @octopudding
      @octopudding 4 роки тому +5

      I have a midterm today (its 1am rn) and im just now understanding how to do this thanks to this guy. it doesnt help that my precalc class is a mini session class so it covers twice as much in a week ;-;

  • @raeallen2708
    @raeallen2708 4 роки тому +243

    I can’t believe my tuition is 12000 a year and this free video did more for me than my $1500 pre calc professor 🙃🔫

  • @DaniellePerry-o8u
    @DaniellePerry-o8u 9 місяців тому +4

    I just learned more in 6 minutes and 27 seconds than I have for the past 5 days. Thank you!!!

  • @Kaijuzilla621
    @Kaijuzilla621 4 роки тому +46

    Did Israel get it though?

  • @lacylaplante
    @lacylaplante 5 років тому +17

    You're an amazing teacher! Thank you!

  • @danielasmite7859
    @danielasmite7859 5 років тому +11

    This made everything more clear. Thanks!

  • @ellaahanene2189
    @ellaahanene2189 4 роки тому +7

    Omg you draw perfect, you teach perfect!! I literally love you!!

  • @3ka-MC
    @3ka-MC 2 роки тому

    that dollar analogy is god tier. you are a blessing to anyone you teach bro

  • @Harveyspecter227
    @Harveyspecter227 6 місяців тому

    you've been saving my life since highschool. thank you for your service

  • @Heccadunks
    @Heccadunks 4 роки тому +1

    I watch your vids instead of going to class... I learn better here 🙏 thanks G!

  • @adityaparmar5877
    @adityaparmar5877 4 роки тому +1

    I was so confused but soon as I watched your video I got it. You are the man. Thanks!

  • @arizona6288
    @arizona6288 5 років тому +7

    That was the best explanation ever thank you!

  • @VanessaPartidaiAMHealthynFit
    @VanessaPartidaiAMHealthynFit 4 роки тому +2

    wow! you teach math like no other math teacher! Thank you!!! It was very helpful!

  • @kaliekrobinson2987
    @kaliekrobinson2987 5 місяців тому

    ⁠​⁠ You’re a phenomenal teacher

  • @sarah.3599
    @sarah.3599 3 роки тому +7

    But what if the denominator is a number that is not on the unit circle? Example: sin 8pi/7. How would you do that?

  • @sachinfitness3932
    @sachinfitness3932 4 роки тому +1

    Your explanation method is very clear sir.

  • @jamesparkinson6876
    @jamesparkinson6876 4 роки тому +1

    Wow that made more sense than a lot of the text books I have read over the years.

  • @enesislami8734
    @enesislami8734 Рік тому

    I wish you were my professor you are too great and thank you very very much because I never understood how all of this works thankssss so much you are the best explainer that I ever saw this far thank you!

  • @justarhum1320
    @justarhum1320 4 роки тому +2

    this guys my favourite

  • @eshaghazali2954
    @eshaghazali2954 4 місяці тому

    This was beautiful! Completely understood

  • @yassoamin1452
    @yassoamin1452 2 роки тому

    What long explanation this was the shortest best explanation I have had until now

  • @derekdan2170
    @derekdan2170 3 роки тому +1

    eso me ha ayudado tanto, muchisimas gracias

  • @timothyvogt7943
    @timothyvogt7943 5 років тому +2

    You're the man!!!

  • @JonasKaunKrafts
    @JonasKaunKrafts 4 місяці тому

    this gave me more than a 45 minute video i just watched and the entire unit information in my class

  • @MFblasphemy
    @MFblasphemy 2 роки тому +1

    How did you manage to make me smile ear to ear while finally figuring out this concept? : }

    • @brianmclogan
      @brianmclogan  2 роки тому +5

      This comment makes me smile ear to ear

    • @MFblasphemy
      @MFblasphemy 2 роки тому +1

      @@brianmclogan Thanks professor! You rock!

  • @zyllestose2791
    @zyllestose2791 3 роки тому +1

    this made me understand it better, but how do you state which quadrant it lies on?

    • @expression3639
      @expression3639 2 роки тому

      Probably too late, this being a year later, but I will answer anyway. Mentally divide the circle like he explained at the beginning according to the denominator and start counting counter-clockwise if the point is positive or clockwise if the point in negative.
      So for example, -5PI/4 : You divide the top half in 4 and the bottom half in 4. Then you count clockwise because the number is negative ; 1, 2, 3, 4 (now you've arrived at the top half) and 5. So 2nd quadrant.

  • @jpm5965
    @jpm5965 5 років тому +9

    You're my Dawg

  • @AmelieOnline
    @AmelieOnline 4 роки тому +5

    But then how do I find the point if my reference angle is not 30, 60 or 90 or any of those standard reference angles

    • @brianmclogan
      @brianmclogan  4 роки тому +1

      Find the positive acute distance to the x-axis

  • @Angelmhc210
    @Angelmhc210 2 місяці тому

    Thank you so much. Im in college rn but my teacher doesn’t explain this properly. You should be the professor 💯😭

  • @andrewbedolla51
    @andrewbedolla51 Рік тому

    THANK YOU!!

  • @fear8976
    @fear8976 4 роки тому +1

    Brian McLogan for president

  • @danielbailey6923
    @danielbailey6923 4 роки тому

    You make this so easy, thank you so much

  • @sanvisharma8521
    @sanvisharma8521 Рік тому

    Amazing 😭❤️

  • @katlegomodiga1264
    @katlegomodiga1264 4 роки тому

    You're the best thank you!!!!!

  • @reold
    @reold 3 роки тому

    Ty!

  • @chandacherrubleo8837
    @chandacherrubleo8837 2 роки тому

    👏🏽👏🏽Why do others make it so complicated 😭

  • @leafyzzz
    @leafyzzz 2 роки тому

    thank you

  • @carmelrobles2888
    @carmelrobles2888 3 роки тому

    so helpful

  • @arieleaston332
    @arieleaston332 5 років тому

    thank you!

  • @bobbercat2250
    @bobbercat2250 3 роки тому

    You saved my life

  • @goodnightvids
    @goodnightvids 2 роки тому

    That’s a great semicircle 😃

    • @brianmclogan
      @brianmclogan  2 роки тому +1

      thank you!

    • @goodnightvids
      @goodnightvids 2 роки тому

      No thanks to you you’re the greatest teacher I’ve never had🙏🏻

  • @oxiyne3487
    @oxiyne3487 8 місяців тому

    i couldn’t learn this in my thousand dollar college pre calc course but i could from a random professor on youtube for free….

  • @thelabperson7651
    @thelabperson7651 3 роки тому

    What point would be 59 degrees?

  • @Lily-zc5gu
    @Lily-zc5gu 4 роки тому

    What if the numerator is 113 and the denominator is 2 ? Is there some equation for this ?

  • @jasminefitzsimons896
    @jasminefitzsimons896 3 роки тому

    I GET IT NOW OMG

  • @aissatoux
    @aissatoux 2 роки тому

    i wish u were my college professor omg

  • @adrianhull469
    @adrianhull469 10 місяців тому

    lifesaver

  • @kimberlygarcia142
    @kimberlygarcia142 3 роки тому +1

    I’m genuinely confused still, why does it end up being 6pi on this case?

    • @kimberlygarcia142
      @kimberlygarcia142 3 роки тому

      Nvm kept re watching it now I understand thank you!

  • @ziondapaa6392
    @ziondapaa6392 2 роки тому

    feel like the blindfold has been taken off

  • @itsalternation9102
    @itsalternation9102 3 роки тому

    Do you know how to do this on their face of a 3d circle

  • @Onyx8Moon
    @Onyx8Moon 4 роки тому

    cool!!!

  • @zachsmith5643
    @zachsmith5643 2 роки тому

    This still confuses me. How do we find where the x and y coordinates come from? I have questions in my homework that ask me to find the points but no one explains the math behind finding them. Were just "supposed to know" what they are and it's making it really frustrating for me because I can't remember every x and y value for every angle in the unit circle. Someone please explain this to me

    • @expression3639
      @expression3639 2 роки тому

      Too late, but I will answer anyway.
      A unit circle is a circle where the radius is equal to 1.
      So you have a circle with a radius of 1. Then you have an angle that starts at 0 (think of a protractor) and the other leg of that angle lands somewhere on the circle. Let's have you mentally picture a 45° angle for the sake of it. At the end of that leg, marking the 45° angle, is a point. Now if you will notice, this gives you 2 points. The middle of the circle and the point at 45°. From the 45° point, mentally draw a height all the way down to the 0° leg and form a right triangle.
      From all of this, you know 2 things about this triangle. The hypothenuse also represents the radius of this circle and because this circle is a unit circle, you know that its radius is 1 so the hypotenuse is also 1. You also know one of the angles, which is 45°. Using this, you can use trigonometry to find the length of each of the other sides of this triangle. The vertical (opposite) side represents the y coordinate and the horizontal (adjacent) side represents the x coordinate.

    • @expression3639
      @expression3639 2 роки тому

      He has a video here : ua-cam.com/video/TGSyMkR6VbI/v-deo.html

    • @miraygungor8296
      @miraygungor8296 Рік тому

      @@expression3639 thank you very much. i am an incoming college freshman and this comment helped me a lot.

  • @richardpineda2904
    @richardpineda2904 4 роки тому

    The Fuck I just get confuse with the last part. You made a right angle but the sections have more degrees than to a right angle

  • @billjamal4764
    @billjamal4764 2 роки тому

    Free my boy Ryan he aint done nothing

  • @kaihuynh8145
    @kaihuynh8145 Рік тому

    I am speechless

  • @nathanc.832
    @nathanc.832 Рік тому

    i love you

  • @thatomofolo452
    @thatomofolo452 Рік тому

    🙏🙏🙏

  • @heijeol.1793
    @heijeol.1793 3 роки тому

    why i dont get it 😭😭

  • @lunaeclipse5768
    @lunaeclipse5768 2 роки тому

    NACHO VARGA

  • @richardpineda2904
    @richardpineda2904 4 роки тому

    Fuck it forget about it

  • @DRWP10
    @DRWP10 Рік тому

    thank you