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

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The graphs of Sine and Cosine (sin and cos) and where they come from. Much of this video is focused on WHY the graphs look the way they do.
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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.

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

farhanhasankhan
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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 :)

karensc
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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.

Redexn
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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 YouTube, (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!

chipicaua
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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 :)

orichardson
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Prof. Leonard is the best Math Teacher

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

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

bohemian
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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

devclassesbygopalsir
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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.

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

NehaGupta-nzol
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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 🇦🇫

zibajanazizi
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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.

ViolinistJeff
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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

varshabhambhani
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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 :)

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

mathsandsciencechannel
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Awesome teacher - kudos from Australia

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

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

philipgilliam