What does Sin, Cos, Tan actually mean? Trigonometry explained for Beginners!

  Рет қаралды 93,864

Jay McCaughrean

Jay McCaughrean

4 жыл бұрын

Sine, Cosine, and Tangent can often be confusing concepts. I for one was very confused when I was first introduced to the words sin cos and tan back in school. It took me several years of studying mathematics to gain a concrete understanding of these words. This video focusses on giving the viewer a visual understanding of trigonometry.
I shot most of the video outdoors to give students a virtual breath of fresh air to help them through their studying.

Пікірлер: 427
@Sam-nm6nk
@Sam-nm6nk 3 жыл бұрын
breaks into high security nuclear facility on a bicycle, lays down in field and talks about math for a bit then develops super human intelligence after exposure to experimental radiation. All in the name of educating the masses. What a MathPunk.
@fishy3314
@fishy3314 3 жыл бұрын
:0 HE ISNT GONE!!!! HE HEARTED A COMMENT
@nathanjohnson5088
@nathanjohnson5088 2 жыл бұрын
You can only really get math through total understanding of a principle, and then using that principle you can understand another and another and so on. Schools prioritize memory tricks over complete understanding and so often leads to a collapse of understanding and interest. This video is not only amazing but should be used as a standard for how and why slow built understanding is far better than quick memory tricks. Well done!
@sactornogaming
@sactornogaming 2 жыл бұрын
couldn't have said it better myself
@STORISESR9
@STORISESR9 2 жыл бұрын
True.you explained basically all he is.good job👍
@mehdimoussaoui1712
@mehdimoussaoui1712 Жыл бұрын
yes indeeed
@kalalukamwangala4698
@kalalukamwangala4698 Жыл бұрын
I need to more on this to understand , thanks.
@trdway5887
@trdway5887 Жыл бұрын
Yes your right
@iangibbon5771
@iangibbon5771 2 жыл бұрын
I was a Structural Engineer, but always struggled with sin, cosine and tan. The university didn't explain it they way you did. Now at 71 years old I get it thanks to you. A bit late, but just so cool. Thank you.
@user-rv4rp7ls8k
@user-rv4rp7ls8k Жыл бұрын
It's never late to learn
@giannnisantetosubtome8686
@giannnisantetosubtome8686 Жыл бұрын
@@user-rv4rp7ls8k nah dawg he kinda late
@idkwhy77
@idkwhy77 7 ай бұрын
can you tell me how often or if you even used this info much in your career or perhaps to pass FE or PE
@ant3235
@ant3235 4 жыл бұрын
My god! You did the impossible. I've learnt the intuition behind these trig functions. You sir are a mathematical hero!
@arcanewonders9641
@arcanewonders9641 3 жыл бұрын
Exactly. This is one of the best math videos I have ever seen. his descriptions are so intuitive and clear, especially with how he uses geometry to present the ideas.
@ph0neh0me231
@ph0neh0me231 3 жыл бұрын
Was honestly my biggest question in school. What IS it? When teachers teach application without the theoretical side of things they think they're helping but for people who need to understand the scope first this helps a lot!
@MR-nl8xr
@MR-nl8xr 2 жыл бұрын
Yea, I'll never understand why history is full of teachers who think regurgitating information to students is some unquestionable advanced god like form of teaching.
@kx1324
@kx1324 3 жыл бұрын
6:50 hahaha this guys is tryna teach us math while an entire war is going on in the background
@JaiBadriJaiKedaar
@JaiBadriJaiKedaar 3 жыл бұрын
no wonder he has learnt concepts so well , he is immune to distractions :)
@aisha7408
@aisha7408 2 жыл бұрын
LOOL AT LEAST AT 7:31 THE WAR IS NEARLY OVER Xd
@mromen5158
@mromen5158 3 жыл бұрын
Your a very different teacher... Never seen people like this in ages...
@gkau4337
@gkau4337 3 жыл бұрын
scam above me ^^^
@bluestripes6037
@bluestripes6037 3 жыл бұрын
I'm extremely grateful for your explanation.. As a novice, it was bothering me that I was numbly "getting it right" without a clue as to what meaning any of trig had.
@99airecaliente99
@99airecaliente99 3 жыл бұрын
6:54 They came for him. He knows too much That's why he hasn't uploaded since
@nerdcartoon2544
@nerdcartoon2544 3 жыл бұрын
LOOOOL
@Crabby.1
@Crabby.1 2 жыл бұрын
It's just math 😐
@aisha7408
@aisha7408 2 жыл бұрын
LOLL TWAS THA FBI 😐
@emilyj.1351
@emilyj.1351 3 жыл бұрын
i bs-ed my way through math and after 2 years of learning sin cos tan i finally understand what it actually means now. Thank you so much.
@MrVlasovIlya
@MrVlasovIlya 2 жыл бұрын
Jay, this was amazing. Please post more videos. You’re a natural teacher.
@teruelryanpaul
@teruelryanpaul 3 жыл бұрын
This guy just chilling and decided to make a math video what a champ
@mobilelegenduk3325
@mobilelegenduk3325 2 жыл бұрын
Shame he only had one video on his channel. A true talent in creating content and teaching this type of stuff. He can really go far with it.
@lpcoral2000
@lpcoral2000 3 жыл бұрын
now I can sleep in peace. Thanks for answering one of my existential doubts
@theonezoz
@theonezoz 2 жыл бұрын
4 years of my life in 35 minutes! thanks!
@theonezoz
@theonezoz 2 жыл бұрын
+56 seconds
@anon-nx4qe
@anon-nx4qe 3 жыл бұрын
learning Trigonometry in a warzone with jay is how I spend my Tuesdays.
@no-de3lg
@no-de3lg 3 жыл бұрын
Please my man complete uploading videos dont give up you are perfect just the youtube logarithm was unfair
@Arran1994
@Arran1994 3 жыл бұрын
Fantastic tutorial! You teach maths wholly, where lecturers teach within the narrow bandwidth of the grade, assuming the base of lower grades to already exist and ignoring what is above, you teach maths as a contextual whole for the purpose of genuine understanding, rather than teaching an out of context piece surrounded by an ambiguous fog to be memorized for later disposal. You are a good teacher man, thank you. This is the kind of teaching that gives value instead of one-use single-purpose throw away tools. I'm just hoping you have a video on parabolas now! Edit: No parabola video 😭😄
@zeeshanhaider2067
@zeeshanhaider2067 3 жыл бұрын
truly conceptual.. love this way of teaching, which flows so logically. No need to memorize, just a step by step visual concept building.. Bra jobbat
@plecksiboya5992
@plecksiboya5992 2 жыл бұрын
Agree.. memorising can be painful. but understanding is blissful...
@lotsandmore2303
@lotsandmore2303 3 жыл бұрын
You don't know how much I'm super excited.... You just explained my four years mystery in 30 minutes and if have skipped ur video by seeing the time extent, I wouldn't have solved this mystery... Thank you and put more videos
@justitroyal7032
@justitroyal7032 3 жыл бұрын
What was it
@xidengmao429
@xidengmao429 3 жыл бұрын
Brilliant mate. U have a natural ability to teach. We need some more videos please.
@israeltor
@israeltor 3 жыл бұрын
Everyone has different learning styles, and the way this video explained the meaning of these terms was exactly what I needed to fully understand the utility of these functions. Thank you for your patience and style of explaining!
@wildflower4052
@wildflower4052 3 жыл бұрын
Many thanks for this great and clear explanation. The fact that you started by explaining the language aspect of sine and used an analogy helped me a lot.
@haorandong5466
@haorandong5466 3 жыл бұрын
Thank u. I’m beyond words
@ruchavaikar7589
@ruchavaikar7589 3 жыл бұрын
I searched you everywhere, but can't find!!!!!! This video is mind blowing, i need more of this
@rypaz87
@rypaz87 3 жыл бұрын
I remembered soh cah toa from high school (ages ago) but I had completely forgotten what the functions represented. This video was a brilliant refresher. Thank you for your efforts!
@arjungupta8299
@arjungupta8299 3 жыл бұрын
You are a legend sir..😳 Pls keep posting🙂
@adoge1175
@adoge1175 2 жыл бұрын
ngl he might be dead
@infiwebtech425
@infiwebtech425 3 жыл бұрын
Let's begin the story. Well i am bachelor student of computer science, i started the lectures of MIT neural nets...some question raised on my mind(that is how neural nets starts to ask question to machine) then from that i went down to linear algebra, again down to multivariable calculus then single variable calculus then to algebra then to tangent and trigonometric graphs and function after that i got the question ,where does sin came from so searching on the whole web i found you. That gives the answer to some of my question.AT LAST I LAUGH WELL how did i pass to bachelor though i secured good marks in math. CONCLUSION: You are amazing so keep exploring math in your way. I can assure you are gonna achieve some big things one day.
@GabrielleSYoung
@GabrielleSYoung 2 жыл бұрын
You are a godsend. thank you for such a calm, welcoming, and light dialogue with these concepts, which I now have a much more meaningful understanding of. You have a gift for teaching. In no way did I ever feel talked down to, either. I loved the change in scenery, the outdoors - really all of the elements of your video...including the space and cadence, which allowed me to take things in, as did the repetition. Thank you! Following your channel and hoping to find more videos to help me with concepts I'm dealing with in Physics!
@JaCrispy313
@JaCrispy313 6 ай бұрын
Learned sin cos tan years ago and never knew what it meant. Thank you so much!
@legendgamer3681
@legendgamer3681 3 жыл бұрын
The easiest explanation for understanding Trigonometry!!! 👍. Keep uploading more concepts of Maths.
@yauxu
@yauxu 3 жыл бұрын
wow, thanks for your clever explanation, my brain is happy!
@iGetPuddy
@iGetPuddy 2 жыл бұрын
At the age of 62, and many years and classes past, I finally understand this. Excellent intro Jay!
@KJ-yd9nw
@KJ-yd9nw 3 жыл бұрын
This helped me so so much- teachers and other videos almost always only tell you how to do it but not what it IS and WHY you do it. Not only did you explain that in a way that was easy to understand you did so in different environments so it wasn't a dull white computer screen the whole time. It helped keep me focused and engaged which is really difficult to do when it comes to math 😅😂 I absolutely loved this video, thank you so much!
@mcyril4391
@mcyril4391 4 жыл бұрын
Thank you so much for this,skeptical at first but well worth it
@adarsharyan3644
@adarsharyan3644 Жыл бұрын
I'm 18 years old and nobody has taught me Sin , cos & tan the way you taught! All of my mathematics teachers said to remember the values but nobody said how we got them and ! And after watching the way they treat those who ask questions i never dared to ask one! Thank you so much 🙏 God bless you!
@shaus81
@shaus81 6 ай бұрын
Really well done, Jay. I'm 42 and got lost in math in high school because I didn't have instructors to explain it like you just did. You just taught me what Sin, Cos and Tan actually is. Please keep going with your videos!
@bellydancerocks321
@bellydancerocks321 2 жыл бұрын
The best explanation of Sin, Cos and Tan I have ever heard. Very clear and easy to understand.
@luisfelipeaquinoquiane906
@luisfelipeaquinoquiane906 Жыл бұрын
You know what? English is not my mother tongue, it is my second language, but your explanation about sine consine, etc as not tangible things seems to me the best explanation I ever found in KZfaq. You made it simple and clear so it has been easier to understand, even easier than I 've watched before spoken in my mother tongue. I really appreciate it so much and I am so grateful for finding your video. Thanks a lot my friend.
@i_am_gods_child
@i_am_gods_child 2 жыл бұрын
hi so y'know how you have those literal lightbulb moments about maths when something just becomes so OBVIOUS, when you didn't understand for a very long time before? I've already had more of those moments after watching the first 5 minutes of this video than I have in school this entire term. Excited to watch the next half an hour!!!!! Edit: I got the end, I have indeed understood many things, and in the best way, like those moments I was talking about above when it just clicks and you go 'ohhh yeah of courseee!' So, thankyou so so much for this.
@cameliamurphy9197
@cameliamurphy9197 2 жыл бұрын
The last grade I completely finished in school was the eight ,: about a year later I passed The GED ; it was easy. However, it was in 1963. I wondered why I was not offered level higher jobs, so I did mostly construction work. Now I am retired and recently passed a legitimate GED, but it took approximately two years of study. Now I have been wanting to learn trig and had doubts about whether I could ever learn it, your video started at my level and developed it. Answering questions I could not vocalize. Thanks, Charles Murph
@palaksdarji
@palaksdarji 3 жыл бұрын
Thanks for helping me learn this at age of 28. What have I done in my clg days.. man, these has become interesting now... Superb explanation...
@toptech148
@toptech148 2 жыл бұрын
Bruh I'm happy and sad at same time...happy because i found this video and sad because this is the only video on your channel..u haven't Posted anything from past 1 year😢
@stephanier7987
@stephanier7987 3 жыл бұрын
life saver, tysm. it's better to conceptualize a topic than just learn "how to do it."
@aacmove
@aacmove 3 жыл бұрын
It is better to know why you are doing something the first place, rather than how to do it. If you don't know why then it is hard to replicate it in different circumstances. Welcome, to how I was taught Mathematics 40 years ago.
@malcs3758
@malcs3758 2 жыл бұрын
Brilliant! I wish this video was around 50 years ago when they just told us to memorize trig identities. Put into the unit circle it is totally clear, and one can create the formulas in a few seconds.
@muhammadnaim6021
@muhammadnaim6021 8 ай бұрын
I can said that this is trigonometry video that i have been searching for.it really help logical thinking like me.best recommend to people who dont really understand sine,cosine and tangen
@shikasketchbook7610
@shikasketchbook7610 7 ай бұрын
Im bad at maths and in mid 40s that I understand this especially having interests in GameDev, this helps a lot, thank you
@pankajkumar-ph1ef
@pankajkumar-ph1ef 3 жыл бұрын
i never knew that sine and cosine are y, x coordinates, it clarifies a lot about sine and cosine on coordinate system. thanks a lot
@ciaoitalo
@ciaoitalo 3 жыл бұрын
This video was so useful. I'm trying to catch up on a bunch of trig and algebra I never took in order to take calculus as an adult and this has helped so much. Thank you a ton!
@aashrayaumakanth22
@aashrayaumakanth22 3 жыл бұрын
Amazing. U should really make more videos. It was very useful and solved all my doubts.
@essentiallygone7590
@essentiallygone7590 2 жыл бұрын
Bro you can't just drop something like this and then leave.... WE NEED MORE
@RedditDrama455
@RedditDrama455 2 жыл бұрын
This is the type of youtuber that makes you feel bad for using add block and disable it because he deserves any single penny that I can generate by watching the add
@tonnie7079
@tonnie7079 3 жыл бұрын
Listening to you in 2021 and I know you are the real deal, I knew SOHCAHTOA but didn't apply in my Android Programming. Every minute of this video is worth it man. Now go ahead and do a video on Radians
@gpn962
@gpn962 3 жыл бұрын
Working my way through Susskind's The Theoretical Minimum and this really helped me brush up on my trig. You're a great explainer! Cheers.
@sarahmasterson9107
@sarahmasterson9107 4 жыл бұрын
So glad I found this. You made this so simple thank you!
@tabishaziz7873
@tabishaziz7873 2 жыл бұрын
844 subscribers? Is this a joke ? That effort he just put was not some average youtuber thing . underrated ! Id love to see more of this content!
@DeepakChauhan-gb3tf
@DeepakChauhan-gb3tf 3 жыл бұрын
Please post more videos on trigonometry. You are a great explainer.
@professorattiqurrehmanoffi205
@professorattiqurrehmanoffi205 2 жыл бұрын
You really made it that easy for the beginners to understand these confusing sin cos and tan. What my teachers can't explain in the classroom, i always look for the solution searching youtube and it never disappointed me. A great video indeed.
@chirpychicken5062
@chirpychicken5062 2 жыл бұрын
THANK YOU SO MUCH. I need to understand *why* something works to understand it and the number of times I gasped and shouted "OH! THAT'S WHY XYZ!" during this video!!!
@sarahb208
@sarahb208 3 ай бұрын
This is the best explanation of the unit circle & trigonometric functions I have ever seen, I finally have a clear understanding of them. Thank you so much!
@mafarachisi
@mafarachisi 3 жыл бұрын
young men!!! you have made me understand what a great many teachers failed many years ago. Good job
@WalterJHuaman
@WalterJHuaman 2 жыл бұрын
This was amazing, I can’t put into words how much this helped me understand this!
@jared6468
@jared6468 2 жыл бұрын
Thank you I finally understand it now. Sometime I why sin always is interelated with waves, now I understand as to why.
@raymondallenjhangiani7670
@raymondallenjhangiani7670 3 жыл бұрын
Excellent 🙏 beautiful ! Very well explained ! Thank you 🙏🙏🙏
@evanstewart6972
@evanstewart6972 3 жыл бұрын
Awesome video Jay, one of the best educational videos I have seen. Excellent rhetoric!
@robertjames9966
@robertjames9966 3 жыл бұрын
Great creative video! I am 29 and have never had someone explain this in such a helpful way!
@doseoffaiyaz
@doseoffaiyaz Жыл бұрын
This is the best comprehensive video in KZfaq for someone who's really trying to understand what the trigonometric functions actually are! Thank you!
@darshanjain6061
@darshanjain6061 3 жыл бұрын
One of the best tutorial on the topic. A saviour. Thanks a ton.
@vincenti7554
@vincenti7554 3 жыл бұрын
the most interactive video i found on youtube.......thank you bro.....love from india
@tamimsajish4515
@tamimsajish4515 3 жыл бұрын
oh my ...... the video i was searching for 12 days... understood the full basic origin in 35 minutes.. *N O I C E*
@amarsinghpatil6414
@amarsinghpatil6414 3 жыл бұрын
I never thought 💭 how x and y can interrelated to angle. Superbro
@jefferyready2394
@jefferyready2394 2 жыл бұрын
Wow I’m so surprised at how simple this is how much sense it makes thank you Jay !!
@aliumrani8514
@aliumrani8514 3 жыл бұрын
Very useful.... thanks dude...
@ashleylorenaka1810
@ashleylorenaka1810 Жыл бұрын
Your explanation was so spot on that I couldn't but subscribe immediately to this channel. I am hopeful for more content. Keep up the great work. I really appreciate your devotion when explaining.
@harshitarora778
@harshitarora778 3 жыл бұрын
Thanks man! This really helped, You deserve more views
@peterm6861
@peterm6861 2 жыл бұрын
For the first time in my 59 years life I understood the basics of sine and cosine! Tnx man!
@speakingfreely6770
@speakingfreely6770 2 жыл бұрын
Genius! I salute you good sir. Respect. If I could file a lawsuit on my school to get my fees back after seeing this video I would.
@chapelchicks8851
@chapelchicks8851 3 жыл бұрын
Excellent explanation. now I understand what those numbers mean in the log books we used to have in maths, long before calculators. Which brings me onto thinking about who sat and calculated every conceivable position within the circle to write the books in the first place!
@4p.m.413
@4p.m.413 3 жыл бұрын
Thank you for doing this. Love the video, including the fact that it was filmed outdoors.
@ianh3385
@ianh3385 2 жыл бұрын
I'd love to see more of this. This was incredible
@jerigg654
@jerigg654 Жыл бұрын
Also the filming outside, really made it more enjoyable and REAL. Thanks for that. Bro, i don't know what is going on in your life, but if you find it in you to make more videos, please do!!
@dregge3420
@dregge3420 2 жыл бұрын
Immediately subscribe, i love the way you explained the whole concept from literally the beginning, and the way you explain this is really cool and creative, please make another math videos!!
@amineamine-kb7vh
@amineamine-kb7vh 3 жыл бұрын
I finally understood what the (sin cos tan) is, thanks Bro 👊🌷
@mohamedgaber5533
@mohamedgaber5533 4 жыл бұрын
How did get ~500 views only 🥺🥺 .. YOU ARE LEGEND still make videos
@Liqhty
@Liqhty 2 жыл бұрын
I love this video it helped me a lot but one thing I still don’t understand is how the calculator is able to find sin and cosin. Like if I take a random number that he used in the video like 70°, how would I be able to get a number from sin(70) on a piece of paper without a calculator
@diegomandragora4327
@diegomandragora4327 Жыл бұрын
I can't really believe yet, but now this thing seems to make much more sense than an hour ago... Surely,I'll still have to take some time on this topic, but you brought it a lot closer to my understanding G! It's just crazy! Thank you very-very much!
@amirthavarshiniy6666
@amirthavarshiniy6666 2 жыл бұрын
I'm 15 and while listening this video I can really taste the sweetness of math! Thank you so much bro... Keep doing great videos.
@reigngyver3111
@reigngyver3111 3 жыл бұрын
Thank you very much, i finally understand what is sine, cosine and tangent!!!!
@jerigg654
@jerigg654 Жыл бұрын
Bro, thanks so so much. I have barely been able to follow in class, before this. You have been such a huge help!!
@chromiedoodles
@chromiedoodles 3 жыл бұрын
Total Godsend. Thank you! --- I went and see you have no other tutorials??? You are so gifted at teaching. I hope you are well and Subscribed so I can watch if you make more. I'd love a video explaining "what is calculus." I'm doing well in Pre-Calculus thanks to KZfaq math tutors, and I'm curious about the next level. Everyone I've asked can't tell me what calculus is. Even people who have taken it...! LOL!
@zaliahrowlands2855
@zaliahrowlands2855 3 жыл бұрын
Wow! so helpful. You can tell by how well u explained, that you have a GREAT understanding. U got another subscriber here
@azeemhassan7281
@azeemhassan7281 2 жыл бұрын
That was probably one of the best explained video on trigonometry yet!! Thank you!
@tiny1342
@tiny1342 3 жыл бұрын
Jay, this is such a great explanation, keep up the good work!
@rajeevkochuveedu6004
@rajeevkochuveedu6004 2 жыл бұрын
Hi Jay, Now I know what is sin cos and tan. I never understand all these stuffs when I was in school. I really appreciate your efforts and time to make this video. A lots of respect and thank you Jay.
@eypower8647
@eypower8647 2 жыл бұрын
I saw your video 2 minutes ago, its awesome! And now I'm waiting for other videos.
@maikamikaela3144
@maikamikaela3144 3 жыл бұрын
Thank you! This really helped me visualize it and actually understand what's going on. I subscribed so I can brag about subbing before you hit 50 when you eventually get big haha
@ashwani6669
@ashwani6669 3 жыл бұрын
Exactly what i was searching. Great video. Thanks
@mohammadahmedragab837
@mohammadahmedragab837 3 жыл бұрын
Thank you so much. This video made me deeply understand what really sine , cosine, and Tanget functions are ❤❤❤
@dalagangbukid7441
@dalagangbukid7441 2 жыл бұрын
Your the man. Salute.... I pass my engineering board exam but i did not know the concept of sin cos tangent until i saw you long video. Thanks man. Muah muah more video pls. Subscribed
@bedlamichhane1717
@bedlamichhane1717 3 жыл бұрын
That was awesome, now I understand everything intuitively
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