The Graphs of Sine and Cosine (Precalculus - Trigonometry 11)

Поделиться
HTML-код
  • Опубликовано: 2 ноя 2024

Комментарии • 54

  • @maksymandrzejdrzyzgiewicz5096
    @maksymandrzejdrzyzgiewicz5096 3 года назад +39

    Professor, one year back, as a 26 year old, I started relearning everything starting from your TTP Math videos because I've never studied mathematics in English, and the last time I've done mathematics of any sort was a decade ago. I went through every single lecture you posted, from TTP all the way to Calculus. I worked very hard, solving every single practice problem in the books you use (yeah, I know you said doing all homework is ridiculous, big deal!). I thought I wanted to bonk off the entry mathematics class just to get my GED and get a 1,5 year web development vocation course. But with hard work, learning from you, I am now confidently going to study one of the world's best Space Engineering program in a dream university. I would like to thank you from the depths of my heart. I will vote for the first satellite I get to work on to be called Leonard!!! (I'll convince them it's some kind of star system and only tell them after it's already in orbit) =) My child is going to learn mathematics using your videos, that's for sure.

    • @MegaDoc360
      @MegaDoc360 3 года назад +6

      Hey man good for you!

    • @maksymandrzejdrzyzgiewicz5096
      @maksymandrzejdrzyzgiewicz5096 3 года назад +2

      @@MegaDoc360 Thanks, friend!!

    • @zuluwarriorprincess
      @zuluwarriorprincess 3 года назад +2

      I am so happy for you. I am at the early stages of my math journey with Professor Leonard's channel. Your comment gives me so much encouragement oh my word, thank you for sharing your journey. Much love from South Africa.

    • @malekstudies0944
      @malekstudies0944 2 года назад

      Hey! Thats so awesome! if you dont mind, can you give me the names of the books P.Leonard uses for each course (precalculus, calculus 1 & 2 & 3?)

  • @farhanhasankhan3113
    @farhanhasankhan3113 3 года назад +23

    G.O.A.T, Sir I am binge watching your Statistics playlist to become a Statistics math expert at Photomath

  • @karensc6747
    @karensc6747 3 года назад +19

    You’re literally saving my bachelor in engineering. Thank you SO MUCH professor! I can’t even find the right words to describe how grateful I am. You’re AMAZING! Greeting from Brazil :)

  • @Redexn
    @Redexn 3 месяца назад +1

    You're a beast. I'm 29-years old going back to school for computer science and upgrading all my math and you have been my saving grace.

  • @chipicaua
    @chipicaua 3 года назад +7

    Hello, Professor, I'll be honest here, I didn't watch this video but I chose to comment here instead of one of your older ones just in case you might actually ever see this. Just wanted to let you know that you truly are my favorite teacher all the way from kindergarten to the university in which I currently study applied mathematics and physics(NTUA, Greece). You honestly and undoubtably changed my life. When I joined Uni at first I didn't really pay attention which led to me having insanely huge gaps in math knowledge which also obviously impacted my performance on my physics classes, let alone the math ones. Then I went through a rough patch during which I was depressed and had anxiety because I thought I would never be able to catch up(in math, or life), and then, somehow, you appeared in my recommended section on RUclips, (I believe it was a random Calc 1 lecture which I did not honestly really need at the time but I clicked on it because I figured maybe you'd be what I needed more generally). And BOY was not wrong on that one. The way you teach, the way you connect with your students, it really gives me a melancholic feeling of nostalgia to know that I've just finished watching your Calc 3 series. What an amazing person, teacher and role model you are. Oh, and by the way, I got 8+(we're being graded on a scale of 0-10) on all of my math classes, SOLELY from watching your videos and self-practicing. I'm now completely back on track uni-wise and almost there life-wise, haha. Just wanted to thank you from the bottom of my heart for your hard work, and I'd like to leave a social message here aswell. People, if you're here because of the same reasons I used to be 2 years ago, I advise you to blindly trust this guy. He'll get you there, I'm 100% positive.
    On behalf of everyone that you've helped, my family and my self, thank you, Professor, I'll see you on the next course!

    • @zuluwarriorprincess
      @zuluwarriorprincess 3 года назад +4

      Thank you for sharing your journey here. I needed to read such a story to encourage me. Much love from South Africa.

    • @chipicaua
      @chipicaua 3 года назад +2

      @@zuluwarriorprincess Keep the grind going, buddy, you'll get there! We all will!

    • @shorndrack
      @shorndrack 9 месяцев назад +2

      Awesome to see this. Hope you are doing even better in your life and realizing your dreams :)

  • @cuckoo46
    @cuckoo46 3 года назад +2

    Prof. Leonard is the best Math Teacher

  • @orichardson
    @orichardson 3 года назад +4

    He's Back 🙌🏽.... Professor you re a Life saver.
    During this Pandemic has been very hard to learn Calculus, Statistics.... with online PowerPoint presentation. Your classes are helping me to get a better understanding.
    Please keep going this channel .
    Many thanks :)

  • @bohemian5749
    @bohemian5749 3 года назад +1

    I am currently learning Statistics with Professor Leonard, just came here to see how he looks like now 👍👍👍

  • @NehaGupta-nz4ol
    @NehaGupta-nz4ol 3 года назад +1

    U r the best calculus faculty i have ever met... Thank you sssoooo much for providing such a beautiful way of calculus basics... 👌👌👌👏👏👍👍

  • @devclassesbygopalsir6663
    @devclassesbygopalsir6663 3 года назад +1

    That's great sir. I am watching this video from 🇮🇳India. At night 11pm, and learning a lot of new techniques. Thank you very much

  • @georgesadler7830
    @georgesadler7830 2 года назад +1

    Professor Leonard, thank you for another exceptional video/lecture on The Graphs of Sine and Cosine in Precalculus/Trigonometry. Plotting points and drawing these two graphs are very helpful in understanding Sine and Cosine. Sine and Cosine waves have many applications in real life.

  • @ayrthhhn
    @ayrthhhn 3 года назад +2

    Very helpful! I thought graphing trig functions was gonna be difficult but knowing the unit circle makes it a ton easier

  • @zibajanazizi6566
    @zibajanazizi6566 3 года назад +3

    You’re a life saver sir ❤️
    I studied Calc 2 and 3 with you
    That was amazing
    And now I have started Differential Equations
    And lots of love and respect ✊ from 🇦🇫

  • @wilmercuevas6491
    @wilmercuevas6491 3 года назад +1

    Omg this video appeared when I needed it the most! I am studying for an exam of the University of Buenos Aires. Thank you so much for the video, you saved me :)

  • @cheskbar7123
    @cheskbar7123 3 года назад +1

    You’re the best. Thank you for all of your videos.

  • @varshabhambhani4819
    @varshabhambhani4819 3 года назад +1

    coming to this video just to check you out after completing calculus 3 uploaded in 2016,wow you lok more jacked 5 years later now:D You should start a fitness channel too

  • @kimhughes1147
    @kimhughes1147 3 года назад +1

    Awesome teacher - kudos from Australia

  • @mathsandsciencechannel
    @mathsandsciencechannel 3 года назад +2

    Prof leonard thanks for this great video. Thanks for your influence.
    ♥️♥️♥️

  • @ViolinistJeff
    @ViolinistJeff 2 года назад +2

    I would say that the weirdest thing about graphing a cosine wave is that the x value on the unit circle IS the y value on the graph of the wave.

  • @shivakantdubey1413
    @shivakantdubey1413 3 года назад +1

    Outstanding video__love from India

  • @johnbiluke8406
    @johnbiluke8406 3 года назад +1

    Magnificent video.

  • @josephgoette9473
    @josephgoette9473 Год назад +1

    Sir. Thank you

  • @philipgilliam3400
    @philipgilliam3400 3 года назад +1

    Thank you so much! I’ve always had massive problems with us in trig!

  • @saltypokai9568
    @saltypokai9568 3 года назад +2

    beautiful chart

  • @user-zn2xe8yq8r
    @user-zn2xe8yq8r 3 года назад +1

    I am watching ur 9years old statistics course. Jeez u haven’t aged at all. U look same as u were 9years ago.

  • @jerryburke7877
    @jerryburke7877 3 года назад +1

    "if you get this your very ahead of people in calc 1" laughs as im going back to review all of trig before calc 2

  • @the_okoh
    @the_okoh 3 года назад

    How many more trig videos should we expecting?
    I have exams next week Wednesday and your videos are my only source of clarity.

    • @zuluwarriorprincess
      @zuluwarriorprincess 3 года назад +3

      I know right! I actually understand the underlying logic to math now because of Prof Leonard.

  • @nilayfifa2762
    @nilayfifa2762 3 года назад +1

    Really appreciate it man but please if it is possible please upload videos more frequently.

  • @JuicyJ4Y
    @JuicyJ4Y 3 года назад +1

    Hi This Professor is our Hero SuperMan Who came to save us from Mr.Evil_Fail

  • @xemon7343
    @xemon7343 3 года назад +1

    Love the explaination

  • @lawesosah9214
    @lawesosah9214 3 года назад +1

    Thanks for the Awesome content!

  • @hushikeshsuvakiya4295
    @hushikeshsuvakiya4295 3 года назад +1

    Very nice video

  • @nickstanton9625
    @nickstanton9625 3 года назад +1

    Thank you, sir.

  • @matilizm
    @matilizm 3 года назад +8

    Will you do linear algebra series too

    • @Peter_1986
      @Peter_1986 3 года назад +2

      Yes - he mentioned in the video "Professor Leonard's Important Announcement 2019" that he does plan to do Linear Algebra, but that he is currently focusing on other courses.

    • @matilizm
      @matilizm 3 года назад +2

      @@Peter_1986 it would be great also we need a exercise video from hım to got a body like hım lol

    • @xirsixussien7303
      @xirsixussien7303 3 года назад

      @@matilizm 😂😂😂😂

  • @rebeccatennenbaum6087
    @rebeccatennenbaum6087 3 года назад +1

    Professor Leonard, Are you going to be doing mathematical modeling? I would love to learn it!

  • @ViolinistJeff
    @ViolinistJeff 2 года назад

    Obviously a sine wave is a curve, but what if someone wanted to draw a straight line from 0 to 1 to 0. Is there a way to prove it is not straight line but rather a curved line without inputting all the angles in between?

  • @meyosman449
    @meyosman449 3 года назад +1

    No complex analysis videos 😭😭

  • @LostArkLover
    @LostArkLover 3 года назад +1

    Can someone give real Clark kent a Noble peace prize Pretty Please!!!

  • @surojpaul14
    @surojpaul14 3 года назад +1

    🦸‍♂️

  • @lilyboon182
    @lilyboon182 3 года назад +1

    Soo... no one gon talk abt how hot he is? umm ok XD

  • @meryemaksam8937
    @meryemaksam8937 3 года назад +1

    Tek Türk benim galiba