Tricks for Memorizing the Unit Circle

Поділитися
Вставка
  • Опубліковано 8 лис 2024

КОМЕНТАРІ • 311

  • @eduardogutierrez185
    @eduardogutierrez185 8 років тому +101

    I am an 2nd year engineering major and I have never seen such a helpful video in remembering the unit circle! This makes it so much easier to do calc! Very helpful, and very well put together! Great job!

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  8 років тому +7

      Thank you for the nice comment! I strive to make my explanations as simple as possible so students can easily understand! Thanks for watching!

    • @ashleydalusma3140
      @ashleydalusma3140 7 років тому +2

      Hello thank you so much for helping me with the Circle uniti chart . I had showed and referred this video to so many other students in my Alg 2 classes and it had awakened them so much . Your tips are AMAZING and yess color coding is great. Just one thing im still lost with finding Tangents could you do a video on how to please ? I have a test on this Friday ? Thanks in advance

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  7 років тому +1

      So sorry, I just now saw this comment. I'm assuming your test has passed, but just in case, the tangent values come from dividing sin by cos. For example, tan 30° = 1/2 ÷ √3/2 = 1/√3 = √3/3

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  7 років тому +2

      When I return to my home state next weekend (I'm currently traveling), I will do a video on how to find the tangent values.

    • @ashleydalusma3140
      @ashleydalusma3140 7 років тому +1

      THANK YOU SO MUCH !!1 YOUR AWESOME TUTOR

  • @taconomad
    @taconomad 7 років тому +14

    As a Junior in a high school pre calculus class, that's after all not going to fail because of this video, thank you

  • @ag4363
    @ag4363 8 років тому +7

    Best technique besides memorizing I have seen thus far. Thank you, I bet your students have a great appreciation for you.

  • @keithhudson3138
    @keithhudson3138 5 років тому +2

    I am studying ahead of time for Precalculus and when I first saw the unit circle, I literally scratched my scalp almost raw. I found this video and I guarantee I will look at this over and over again. This is one one of the best instructional videos I have ever seen in all the levels of math I have taken to this point. I have to go to Calculus 2. I hope I see you again. Thank you!!!

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  5 років тому +1

      I am currently teaching Pre-Calculus, Intro to College Algebra, College Algebra, and Calculus 1, but I have a few videos that do cover some Calculus 2 topics.

  • @sail2byzantium
    @sail2byzantium 8 років тому +37

    Wow! That was the absolute BEST presentation on the unit circle and its varied values I have ever seen. Very visually memorable and the color-coding is genius (I wish I would have figured that out earlier). Worthy of a subscription! PS: Do you do calculus videos?

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  8 років тому +6

      Thank you so much for the positive comments! I have some calculus 1 videos, but just getting started on those, so definitely fewer to choose from. Here's the link to the calculus videos playlist: ua-cam.com/play/PLLJtxV0yM9rYSJjWW07qqQ3zHckgvcYpD.html

    • @sail2byzantium
      @sail2byzantium 8 років тому +4

      Thank you so much--I will give those a look!

    • @John-wx3zn
      @John-wx3zn 3 роки тому

      sail2byzantium, I have a way faster way of doing it. First mark off the counter clockwise 30 degree increments. And the starting at the first 30 degree angle rught down pi over 6, the second one 2 pi over 6, the 3rd one 3 pi over 6, the forth one 4 pi over 6, the fifth one 5 pi over 6, the 6th one 6 pi over 6, the 7th one 7 pi over 6, the 8th one 8 pi over 6, the 9th one 9 pi over 6, the 10th one 10 pi over 6, the 11th one 11 pi over 6, the 12th one 12 pi over 6. See how they are all in order from 1 to 12. With out reducing the so the numbers stay in order and the denominators do not change. 2 pi over 6 is read here is two pi over 6es like hear is two apples, 3 pi over 6es, here is three apples. The next step is to right down the reduced fraction for each radian angle in lane 2. lane 1 like on a running track the non reduced radian measures. This way I can look at lane 1 and only see my 1 to 12 non reduced radian measurements. If I look at lane 2, I see the reduced radian measurements. For the 45 degree increments only have to add 45 degrees each time. Done.

  • @experiencethebeats4217
    @experiencethebeats4217 8 років тому +5

    Definitely the best explanation on UA-cam!!!!! Two thumbs up!

  • @DeeRandhawa
    @DeeRandhawa 7 років тому +2

    The Best Explanation on the internet YET!!!! Thank You!

  • @g45798
    @g45798 8 років тому +4

    Thank you so much! I have been struggling to memorise these for the past few months and this has finally made it a lot easier!!!

  • @darrenhesitt3921
    @darrenhesitt3921 8 років тому +23

    The radians part of this is gold. Thank you.

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  8 років тому +7

      You're welcome. Glad it helped! Thanks for watching!

    • @John-wx3zn
      @John-wx3zn 3 роки тому +1

      Darren, I have a way faster way of doing it. First mark off the counter clockwise 30 degree increments. And the starting at the first 30 degree angle rught down pi over 6, the second one 2 pi over 6, the 3rd one 3 pi over 6, the forth one 4 pi over 6, the fifth one 5 pi over 6, the 6th one 6 pi over 6, the 7th one 7 pi over 6, the 8th one 8 pi over 6, the 9th one 9 pi over 6, the 10th one 10 pi over 6, the 11th one 11 pi over 6, the 12th one 12 pi over 6. See how they are all in order from 1 to 12. With out reducing the so the numbers stay in order and the denominators do not change. 2 pi over 6 is read here is two pi over 6es like hear is two apples, 3 pi over 6es, here is three apples. The next step is to right down the reduced fraction for each radian angle in lane 2. lane 1 like on a running track the non reduced radian measures. This way I can look at lane 1 and only see my 1 to 12 non reduced radian measurements. If I look at lane 2, I see the reduced radian measurements. For the 45 degree increments only have to add 45 degrees each time. Done.

  • @haroldsimpson8422
    @haroldsimpson8422 8 років тому +8

    Very nice explanation there are so many patterns and techniques one can use for the "Unit Circle", but I truly liked your example the best.
    The coloring of the lines is just genius it made everything so simple. I will definitely borrow this technique as I teach my kids how to manipulate the circle.
    Thanks,

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  8 років тому +4

      +Harold Simpson You're so very welcome! Thank you for the nice remarks! Glad to be able to share the idea!

  • @MoonstarAR
    @MoonstarAR 6 років тому +1

    This was super helpful. Thank-you for sharing your knowledge!

  • @vardhinikarun2086
    @vardhinikarun2086 7 років тому +3

    You are a Genius!You make it the opposite of confusing like the other videos.Thank you so much!

  • @quincy7258
    @quincy7258 8 років тому +19

    Truly amazing video, this helped me a lot, thanks!

  • @LawanaWalker
    @LawanaWalker 7 років тому +2

    When my professor told us we needed to memorize this, I was freaking out because I struggle with memorization, but after watching probably 2 hours worth of other videos on this I found this one and it finally clicked! Thanks so much for helping me learn something I've been struggling with! It's actually kind of fun now that I get it!

  • @silverwolf7782
    @silverwolf7782 4 роки тому +2

    God bless you cole you're helping me pass my class 😊😊😊😊

  • @THSCalculus
    @THSCalculus 8 років тому +4

    Absolutely loved this! Excellent video!

  • @artofpsyi5383
    @artofpsyi5383 8 років тому +7

    The best video out there! Thank you!

  • @robertyoouo9357
    @robertyoouo9357 6 років тому +3

    thank god for i have stumbled upon this without it i would be so stressed and sad. Thanks so so much!

  • @jojo_1054
    @jojo_1054 5 років тому +1

    This video is so helpful! So many tips and tricks! Thank u soo much

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  5 років тому

      You’re welcome! Thanks for watching. Please share with your friends! 👍🏻😃

  • @oscariajian9347
    @oscariajian9347 6 років тому +1

    The finger part is really helpful! Thank you :)

  • @adrianalopez9282
    @adrianalopez9282 8 років тому +7

    This is literally amazing, thank you so much!

  • @katiewilcox9745
    @katiewilcox9745 3 роки тому

    My mind is completely blown. This is so helpful! THANK YOU

  • @saraaxtonin
    @saraaxtonin 7 років тому +2

    This is so amazing! I've been struggling with memorizing this forever, and its really hurt me in my trig class. Thank you so much! You're an angel :')

  • @TanerNilluhktaf
    @TanerNilluhktaf 8 років тому +15

    This is the best technique to memorise angles and values I've seen so far on youtube!

  • @danieldonado6814
    @danieldonado6814 2 роки тому +1

    best video and explanation I've seen by far! thanks so much!

  • @dougjenkins7311
    @dougjenkins7311 8 років тому +4

    Excellent method for memorizing the unit circle. Thank you so much!

  • @sirisaacnewton2186
    @sirisaacnewton2186 7 років тому +2

    Thank you so much. This is awesome! Best video out there for explaining the unit circle!

  • @taylorbencheck6932
    @taylorbencheck6932 7 років тому +1

    Most helpful video I have every watched regarding any subject. Thank you so much!

  • @Crystal-uw9yb
    @Crystal-uw9yb 6 років тому +1

    WOW! I finally understand the unit circle thanks to your method! Thanks tons :-)

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  6 років тому

      You're welcome! Glad it was helpful for you! Please share with your friends so others can benefit too! Thanks!

  • @stephanyrobinson7811
    @stephanyrobinson7811 6 років тому +1

    thank you so much! this was SUPER helpful!!

  • @inongemushongo373
    @inongemushongo373 6 років тому +1

    So neat,so informative,very clear i have been working on this for days and you just made it way easier thank you .❤

  • @bearyboy9174
    @bearyboy9174 4 роки тому +1

    mindblowing... as someone struggling with this. u made it seem so easy to do. thank you.... i can’t tell how much anxious i get whenever i can’t understand something overwhelming... thank u again... wish u the best 😁😸🤩👏🥳

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  4 роки тому

      So very glad the video was helpful for you! Math doesn’t have to be stressful.....when it’s explained in the right way! Super glad you found the video! Good luck with your math class!

  • @anitart-cookie
    @anitart-cookie 6 років тому +1

    this is smart and really helpful, thanks a lot!

  • @carmenogden812
    @carmenogden812 7 років тому +1

    SO helpful!!! Thank you! Helped me so much with trig:)

  • @kevindoesntgiveahoot3555
    @kevindoesntgiveahoot3555 6 років тому +2

    2 years later and still helping people memorize this thing daily!! Thanks for the help!

  • @victoriapeterson8886
    @victoriapeterson8886 7 років тому +2

    Wow! This is amazing! Thank you so much for sharing these tips! Super super helpful!

  • @jasminmartinez8212
    @jasminmartinez8212 7 років тому +1

    Your video helped me out so much with memorizing the unit circle for pre cal 😊 such a wonderful video!

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  7 років тому

      So glad it was helpful! Thanks for watching. Please share with your friends.

  • @carlosjimenez9914
    @carlosjimenez9914 7 років тому +2

    Thank you for making it look so simple.

  • @tarunprakash2468
    @tarunprakash2468 7 років тому +2

    Your video's are very helpful! I watched a bunch of them to prep for my daily trig quizzes that I have for the rest of the week. I will recommend this video to my teacher... Thank you so much and I look forward to watching your future videos.

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  7 років тому

      Thank you so much! Glad my videos are helpful! Thanks for sharing this video with your teacher!

  • @meganh5533
    @meganh5533 6 років тому +1

    I love you! This is fantastic, I've been trying to understand this for a week. 🙉

  • @cosetteshuman1815
    @cosetteshuman1815 6 років тому +1

    The part for radians is amazing! Thank you so much 😲

  • @SNPolka56
    @SNPolka56 8 років тому +5

    Enjoyed this lecture very much and learned some cool tricks. Thanks a lot.

  • @m.raedallulu4166
    @m.raedallulu4166 4 роки тому +1

    An excellent video indeed! Thank you!

  • @khalidmehmood2330
    @khalidmehmood2330 7 років тому +1

    i am a teacher of math and enjoying your teaching tricks. Thanks

  • @katherinespringston2418
    @katherinespringston2418 6 років тому +1

    Thank you so much for this video!!! This is a great help!

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  6 років тому

      That's awesome! So glad the video was helpful for you!!! Thanks for watching.

  • @annaschell5312
    @annaschell5312 5 років тому +1

    The most helpful video. Thank you

  • @Danie101222fab4u
    @Danie101222fab4u 7 років тому +2

    i was stressing over my exam for unit circles tomorrow but now im so confident thank you so much

  • @tadetaye2302
    @tadetaye2302 8 років тому +5

    This is soooo awesome..i am glad, this has helped me so much. Thank you!

  • @nitaholloway2389
    @nitaholloway2389 6 років тому +1

    Thanks, this really helped!

  • @mayahsimone4262
    @mayahsimone4262 8 років тому +10

    Thanks so much you deserve a trophy

  • @valeriamarina5418
    @valeriamarina5418 7 років тому +2

    AMAZING for my pre calc class!

  • @ariannamullings8575
    @ariannamullings8575 6 років тому +1

    I just want to say that I’m a Junior in High School and I was having a tough time memorizing my unit circle or making an sense of it but when I watched your video it came so easy.

  • @frezghiwxaemeatlampodusaa5548
    @frezghiwxaemeatlampodusaa5548 5 років тому +3

    It is very helpful thanks so much Dear.

  • @willsweeney3665
    @willsweeney3665 7 років тому +1

    I passed my geometry test thanks to this! I appreciate the helpful and easy understanding of the video! Keep up the great videos!

  • @kristenyeager4301
    @kristenyeager4301 7 років тому +1

    Great video! It really helped me memorize the unit circle.

  • @inongemushongo373
    @inongemushongo373 6 років тому +1

    Aaaah Genius😍Thank you God bless you.❤

  • @londonholmes5805
    @londonholmes5805 7 років тому +1

    This vid helped a lot! Thank you!

  • @freddiesims1006
    @freddiesims1006 5 років тому +1

    very good stuff!!!! Thank you

  • @vonFroggula
    @vonFroggula 7 років тому

    Thanks for this terrific explanation-your teaching is outstanding. Making a real difference in my trig class.

  • @julieasbury7872
    @julieasbury7872 6 років тому +1

    that finger trick blew my mind

  • @beyzee8516
    @beyzee8516 6 років тому +3

    I remember when I was in second year high school and I (together with my other classmate) was sent to represent my school in a math competition. We never tackled this topic at the time and lucky for me I've already discovered youtube lessons back then so I could advance in everything. So this question came out and we were given 15 seconds to calculate mentally. Only our school got the correct answer and they're all shook (even my math teacher was impressed 'cause he knew he hadn't taught us this yet). We won that competition and all credit is on youtube lecture series lol Good old days. Now I'm coming back here to review for NMAT. Hope I can slay this one too 😂

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  6 років тому

      UA-cam is a great place to learn. Keep up the good work and good luck on the NMAT.

  • @gracetate4722
    @gracetate4722 8 років тому +2

    Thank you so much!!! THIS video helped out a lot!!😌😌

  • @diegotrejo9024
    @diegotrejo9024 7 років тому +30

    Better than my teacher now I understand it a lot more

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  7 років тому +4

      So glad the video helped you! Thanks for watching.

    • @John-wx3zn
      @John-wx3zn 3 роки тому

      Diego Trejo, Cole, I have a way faster way of doing it. First mark off the counter clockwise 30 degree increments. And the starting at the first 30 degree angle rught down pi over 6, the second one 2 pi over 6, the 3rd one 3 pi over 6, the forth one 4 pi over 6, the fifth one 5 pi over 6, the 6th one 6 pi over 6, the 7th one 7 pi over 6, the 8th one 8 pi over 6, the 9th one 9 pi over 6, the 10th one 10 pi over 6, the 11th one 11 pi over 6, the 12th one 12 pi over 6. See how they are all in order from 1 to 12. With out reducing the so the numbers stay in order and the denominators do not change. 2 pi over 6 is read here is two pi over 6es like hear is two apples, 3 pi over 6es, here is three apples. The next step is to right down the reduced fraction for each radian angle in lane 2. lane 1 like on a running track the non reduced radian measures. This way I can look at lane 1 and only see my 1 to 12 non reduced radian measurements. If I look at lane 2, I see the reduced radian measurements. For the 45 degree increments only have to add 45 degrees each time. Done.

  • @hannahcain731
    @hannahcain731 7 років тому +1

    Purely AMAZING!!!

  • @madhumitaranwa5988
    @madhumitaranwa5988 6 років тому +1

    Great to see your video ma'am ..Love from India

  • @ydwestcoasthomesic3856
    @ydwestcoasthomesic3856 7 років тому +5

    I love the way you say negative 😊

  • @annikajyothi9373
    @annikajyothi9373 6 років тому +1

    So good! Thank you!

  • @JazBeYou
    @JazBeYou 6 років тому +2

    i am so thankful for this video I feel like I've finally understood the topic hopefully I pass my test tomorrow.

  • @marvintookesiii9847
    @marvintookesiii9847 6 років тому

    Thank you for helping me memorize the unit circle I really appreciate that 😊

  • @Shay_TheUnpopularOpinion_
    @Shay_TheUnpopularOpinion_ 7 років тому +2

    You are the best!!! Thank you so much for the helpful tricks! I'm going to use this for my exam in 48 hours.

  • @foramkamani9696
    @foramkamani9696 7 років тому +2

    Its too good
    I memorised half of the things while just watching
    The technique used by you maam is too smarty and good😊

  • @estephaniacampos2479
    @estephaniacampos2479 8 років тому +5

    Love this! it helped me so much thank you!!!!!

  • @zaeyahwilson1464
    @zaeyahwilson1464 5 років тому +1

    Bless this woman this is some galaxy brain level shit dude. I thought I was gonna fail my precalc test but not anymore!! Thank you so much this video is a godsend 😊🙏🙏

  • @carlosr6547
    @carlosr6547 5 років тому +1

    wooow excellent video, excellent way to teach maths tahnk you so much :)

  • @bettyabbey1239
    @bettyabbey1239 7 років тому +1

    Thank God I finally found the best method! Thank you soo much

  • @05ladiimexxo
    @05ladiimexxo 7 років тому +2

    Thank you so very much!

  • @NozomiKairu
    @NozomiKairu 7 років тому +1

    thank you so much for this very helpful video, i managed to learn and understand more through this, thank you so much!

  • @keithkenaan6187
    @keithkenaan6187 8 років тому +4

    So helpful!. Thank you so much!.

  • @suezettemcfarlane7200
    @suezettemcfarlane7200 7 років тому +1

    Thanks a lot. Very helpful

  • @eshah3895
    @eshah3895 7 років тому +1

    wow great this is the best trick which I saw forever.
    thank you.

  • @hyenapete9047
    @hyenapete9047 6 років тому

    This was so helpful! Thank you very much!

  • @andreatorres5979
    @andreatorres5979 7 років тому +1

    This is so helpful god bless you ❤️❤️

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  7 років тому

      Thanks! Glad it was helpful! Please share with your friends so others can benefit!

  • @hey-ui5mz
    @hey-ui5mz 8 років тому +7

    omg... it is DamN GOOD!!Thankful so much!!!

  • @rayvenvanoni
    @rayvenvanoni Рік тому +1

    this was really helpful!

  • @rnrnnivas3309
    @rnrnnivas3309 6 років тому +1

    Thank you so much😭❣
    I need this for my final exam ;-;
    I memorized the whole thing just by watching, you're amazing

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  6 років тому +1

      So glad the video was helpful for you! That's why I make math videos! Good luck on your exam.

  • @Jessica-hz2bi
    @Jessica-hz2bi 7 років тому +1

    i love this so helpful i now know how to fully memorize the unit circle thank you so much:))

  • @kekegoode6707
    @kekegoode6707 8 років тому +4

    Thank you so much it was so easy when you did it and you really saved me!!!

  • @DevPatel0120200036040
    @DevPatel0120200036040 6 років тому +1

    Thank You for the great video! I am about to ace the Unit Circle Quiz I am taking tmrw!

  • @gamingwithkaplan-clashroya8686
    @gamingwithkaplan-clashroya8686 7 років тому +2

    Thank you so much! You made my day! :)

  • @alanismarie5916
    @alanismarie5916 5 років тому +1

    best unit circle video on earth

  • @HaliPuppeh
    @HaliPuppeh 6 років тому +1

    Where was that "Square root of the fingers over two" trick when I was learning trigonometry 20 years ago??? That's an amazing mnemonic! Pure genius

  • @tukkerbrown7994
    @tukkerbrown7994 7 років тому +1

    Best example thank you

  • @djenebabocoum4346
    @djenebabocoum4346 6 років тому +1

    you are the best of the best of best of the best , thank you .

  • @sydneybrown8491
    @sydneybrown8491 6 років тому +1

    I don’t know who this lady is but if you ever happen to read this you are a creative genius

    • @ColesWorldofMathematics
      @ColesWorldofMathematics  6 років тому

      Thanks! 😊 Honestly, I have just been teaching a very long time. And after that many years, a person learns how to break concepts down into the most simplest of terms.

  • @ari.thatsitjustari.9680
    @ari.thatsitjustari.9680 6 років тому +1

    Great job.

  • @amadou1745
    @amadou1745 6 років тому +1

    you made it very easy thanks

  • @mehreenshafiq5420
    @mehreenshafiq5420 6 років тому +1

    Awesomely perfect

  • @akkir6707
    @akkir6707 6 років тому +1

    Wow thank so much i can ace the recitation for sure

  • @JessicaBonilla
    @JessicaBonilla 8 років тому +6

    this has been SO helpful in knowing everything,. my only problem is my teacher expects us to fill it out in 30 seconds lol