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

Jay McCaughrean
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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.

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22 дек 2019

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Комментарии : 427   
@Sam-nm6nk
@Sam-nm6nk 3 года назад
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 года назад
:0 HE ISNT GONE!!!! HE HEARTED A COMMENT
@nathanjohnson5088
@nathanjohnson5088 2 года назад
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 года назад
couldn't have said it better myself
@STORISESR9
@STORISESR9 2 года назад
True.you explained basically all he is.good job👍
@mehdimoussaoui1712
@mehdimoussaoui1712 Год назад
yes indeeed
@kalalukamwangala4698
@kalalukamwangala4698 Год назад
I need to more on this to understand , thanks.
@trdway5887
@trdway5887 Год назад
Yes your right
@iangibbon5771
@iangibbon5771 2 года назад
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 Год назад
It's never late to learn
@giannnisantetosubtome8686
@giannnisantetosubtome8686 Год назад
@@user-rv4rp7ls8k nah dawg he kinda late
@idkwhy77
@idkwhy77 6 месяцев назад
can you tell me how often or if you even used this info much in your career or perhaps to pass FE or PE
@ph0neh0me231
@ph0neh0me231 3 года назад
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 года назад
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 года назад
6:50 hahaha this guys is tryna teach us math while an entire war is going on in the background
@JaiBadriJaiKedaar
@JaiBadriJaiKedaar 3 года назад
no wonder he has learnt concepts so well , he is immune to distractions :)
@aisha7408
@aisha7408 2 года назад
LOOL AT LEAST AT 7:31 THE WAR IS NEARLY OVER Xd
@99airecaliente99
@99airecaliente99 3 года назад
6:54 They came for him. He knows too much That's why he hasn't uploaded since
@nerdcartoon2544
@nerdcartoon2544 3 года назад
LOOOOL
@CRAB..
@CRAB.. 2 года назад
It's just math 😐
@aisha7408
@aisha7408 2 года назад
LOLL TWAS THA FBI 😐
@ant3235
@ant3235 4 года назад
My god! You did the impossible. I've learnt the intuition behind these trig functions. You sir are a mathematical hero!
@arcanewonders9641
@arcanewonders9641 3 года назад
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.
@mromen5158
@mromen5158 3 года назад
Your a very different teacher... Never seen people like this in ages...
@gkau4337
@gkau4337 3 года назад
scam above me ^^^
@bluestripes6037
@bluestripes6037 3 года назад
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.
@emilyj.1351
@emilyj.1351 3 года назад
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 года назад
Jay, this was amazing. Please post more videos. You’re a natural teacher.
@lpcoral2000
@lpcoral2000 3 года назад
now I can sleep in peace. Thanks for answering one of my existential doubts
@teruelryanpaul
@teruelryanpaul 3 года назад
This guy just chilling and decided to make a math video what a champ
@mobilelegenduk3325
@mobilelegenduk3325 2 года назад
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.
@anon-nx4qe
@anon-nx4qe 3 года назад
learning Trigonometry in a warzone with jay is how I spend my Tuesdays.
@no-de3lg
@no-de3lg 3 года назад
Please my man complete uploading videos dont give up you are perfect just the youtube logarithm was unfair
@Arran1994
@Arran1994 3 года назад
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 года назад
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 года назад
Agree.. memorising can be painful. but understanding is blissful...
@lotsandmore2303
@lotsandmore2303 3 года назад
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 года назад
What was it
@israeltor
@israeltor 3 года назад
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!
@xidengmao429
@xidengmao429 2 года назад
Brilliant mate. U have a natural ability to teach. We need some more videos please.
@haorandong5466
@haorandong5466 2 года назад
Thank u. I’m beyond words
@ruchavaikar7589
@ruchavaikar7589 3 года назад
I searched you everywhere, but can't find!!!!!! This video is mind blowing, i need more of this
@wildflower4052
@wildflower4052 3 года назад
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.
@shaus81
@shaus81 5 месяцев назад
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!
@rypaz87
@rypaz87 3 года назад
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!
@GabrielleSYoung
@GabrielleSYoung 2 года назад
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!
@iGetPuddy
@iGetPuddy 2 года назад
At the age of 62, and many years and classes past, I finally understand this. Excellent intro Jay!
@arjungupta8299
@arjungupta8299 3 года назад
You are a legend sir..😳 Pls keep posting🙂
@adoge1175
@adoge1175 2 года назад
ngl he might be dead
@mcyril4391
@mcyril4391 4 года назад
Thank you so much for this,skeptical at first but well worth it
@legendgamer3681
@legendgamer3681 3 года назад
The easiest explanation for understanding Trigonometry!!! 👍. Keep uploading more concepts of Maths.
@adarsharyan3644
@adarsharyan3644 Год назад
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!
@peterm6861
@peterm6861 Год назад
For the first time in my 59 years life I understood the basics of sine and cosine! Tnx man!
@bellydancerocks321
@bellydancerocks321 2 года назад
The best explanation of Sin, Cos and Tan I have ever heard. Very clear and easy to understand.
@KJ-yd9nw
@KJ-yd9nw 3 года назад
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!
@luisfelipeaquinoquiane906
@luisfelipeaquinoquiane906 Год назад
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 RU-vid. 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.
@JaCrispy313
@JaCrispy313 5 месяцев назад
Learned sin cos tan years ago and never knew what it meant. Thank you so much!
@ciaoitalo
@ciaoitalo 3 года назад
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!
@sarahmasterson9107
@sarahmasterson9107 3 года назад
So glad I found this. You made this so simple thank you!
@yauxu
@yauxu 3 года назад
wow, thanks for your clever explanation, my brain is happy!
@evanstewart6972
@evanstewart6972 3 года назад
Awesome video Jay, one of the best educational videos I have seen. Excellent rhetoric!
@stephanier7987
@stephanier7987 3 года назад
life saver, tysm. it's better to conceptualize a topic than just learn "how to do it."
@aacmove
@aacmove 3 года назад
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.
@doseoffaiyaz
@doseoffaiyaz Год назад
This is the best comprehensive video in RU-vid for someone who's really trying to understand what the trigonometric functions actually are! Thank you!
@i_am_gods_child
@i_am_gods_child 2 года назад
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.
@WalterJHuaman
@WalterJHuaman 2 года назад
This was amazing, I can’t put into words how much this helped me understand this!
@cameliamurphy9197
@cameliamurphy9197 2 года назад
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
@4p.m.413
@4p.m.413 3 года назад
Thank you for doing this. Love the video, including the fact that it was filmed outdoors.
@tiny1342
@tiny1342 3 года назад
Jay, this is such a great explanation, keep up the good work!
@ianh3385
@ianh3385 2 года назад
I'd love to see more of this. This was incredible
@harshitarora778
@harshitarora778 3 года назад
Thanks man! This really helped, You deserve more views
@gpn962
@gpn962 2 года назад
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.
@jerigg654
@jerigg654 Год назад
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!!
@azeemhassan7281
@azeemhassan7281 2 года назад
That was probably one of the best explained video on trigonometry yet!! Thank you!
@mafarachisi
@mafarachisi 3 года назад
young men!!! you have made me understand what a great many teachers failed many years ago. Good job
@darshanjain6061
@darshanjain6061 3 года назад
One of the best tutorial on the topic. A saviour. Thanks a ton.
@robertjames9966
@robertjames9966 3 года назад
Great creative video! I am 29 and have never had someone explain this in such a helpful way!
@muhammadnaim6021
@muhammadnaim6021 7 месяцев назад
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
@ashleylorenaka1810
@ashleylorenaka1810 Год назад
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.
@olivierkatombe3374
@olivierkatombe3374 3 года назад
This videos WAS AMAZING. Everything is clear! love it.
@professorattiqurrehmanoffi205
@professorattiqurrehmanoffi205 2 года назад
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.
@jerigg654
@jerigg654 Год назад
Bro, thanks so so much. I have barely been able to follow in class, before this. You have been such a huge help!!
@theonezoz
@theonezoz 2 года назад
4 years of my life in 35 minutes! thanks!
@theonezoz
@theonezoz 2 года назад
+56 seconds
@jefferyready2394
@jefferyready2394 2 года назад
Wow I’m so surprised at how simple this is how much sense it makes thank you Jay !!
@nagee76
@nagee76 2 года назад
Thanks for a very instructive trig lesson, Jay. Please keep up the good work.
@ashwani6669
@ashwani6669 3 года назад
Exactly what i was searching. Great video. Thanks
@dregge3420
@dregge3420 2 года назад
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!!
@eypower8647
@eypower8647 2 года назад
I saw your video 2 minutes ago, its awesome! And now I'm waiting for other videos.
@trishadaley9105
@trishadaley9105 2 года назад
Thank you for this video. It is a great start to me understanding trigonometry! THANKS again!
@malcs3758
@malcs3758 2 года назад
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.
@diegomandragora4327
@diegomandragora4327 Год назад
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!
@CalebRoc_Runs
@CalebRoc_Runs 3 года назад
Wow this is explained incredibly well! Instant subscribe and follow.
@Tronchain
@Tronchain Год назад
Nicely explained concept mate, keep it up! Need more vids from you on some basic concepts like Algebra or Calculus
@iforrees2864
@iforrees2864 3 года назад
Amazing video. I was so confused about all this before watching this. Thankyou.
@palaksdarji
@palaksdarji 3 года назад
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...
@zaliahrowlands2855
@zaliahrowlands2855 3 года назад
Wow! so helpful. You can tell by how well u explained, that you have a GREAT understanding. U got another subscriber here
@sarahb208
@sarahb208 2 месяца назад
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!
@tabishaziz7873
@tabishaziz7873 2 года назад
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!
@chirpychicken5062
@chirpychicken5062 2 года назад
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!!!
@infiwebtech425
@infiwebtech425 3 года назад
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.
@aashrayaumakanth22
@aashrayaumakanth22 3 года назад
Amazing. U should really make more videos. It was very useful and solved all my doubts.
@maikamikaela3144
@maikamikaela3144 3 года назад
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
@___-me4iq
@___-me4iq 3 года назад
this is an amazing explanation, thank you!
@rajeevkochuveedu6004
@rajeevkochuveedu6004 2 года назад
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.
@simplylotus6067
@simplylotus6067 2 года назад
AMAZING. GENIUS. Jay, this video is a masterpiece. Please please plEASE make more
@lucasweisman8778
@lucasweisman8778 Год назад
You are such an AWESOME teacher!! Much appreciated.
@samantharix9229
@samantharix9229 2 месяца назад
This was incredibly helpful! Please make more videos!!
@duncangavitt2187
@duncangavitt2187 11 месяцев назад
dude this video helped me so much. bees strugling to teach myself geometry and this really broke it down for me! subbed.
@ishikameher1941
@ishikameher1941 Год назад
if im being honest bro, this video explained the concept so much better than an teacher at school did, and im really glad yo decided to make the video. Please make more explaining other concepts in math! i know it would help lots of people including me. again, thank you so much for making this super duper easy!!
@Evelyn-wi8ol
@Evelyn-wi8ol 2 года назад
If only you were my math teacher way back when, I'd probably have invented something. I have never seen someone teach so calmly,simply and practically. I think back at the horrible experiences I had learning Math. And I'm here because i needed to understand something in architecture. This video is my day's highlight. I'm so happy.
@bedlamichhane1717
@bedlamichhane1717 3 года назад
That was awesome, now I understand everything intuitively
@tamimsajish4515
@tamimsajish4515 3 года назад
oh my ...... the video i was searching for 12 days... understood the full basic origin in 35 minutes.. *N O I C E*
@justinmanzo3945
@justinmanzo3945 Год назад
PLEASE make more videos, i really love how you teach hope to see more of you and what you can create
@vincenti7554
@vincenti7554 3 года назад
the most interactive video i found on youtube.......thank you bro.....love from india
@dorisdejusto5485
@dorisdejusto5485 Год назад
I loved the explanation bruhhh, good job. Thank you for this video❤
@dalagangbukid7441
@dalagangbukid7441 2 года назад
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
@sn2319
@sn2319 3 года назад
Very impressively easy way to explain. Much appreciated your easy way of explanations. Thanks
@karan_karan_karan
@karan_karan_karan 2 года назад
hiiii this helped me understand that unit circle stuff, i was so confused but the way u described the coordinates helped :) thanks king
@toptech148
@toptech148 2 года назад
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😢
@STORISESR9
@STORISESR9 2 года назад
Yo man i rlly appreciate the explanation you did.it helped me out alot.this video is so underrated.tbh i wish that this creator would make more maths videos.
@chromiedoodles
@chromiedoodles 3 года назад
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 RU-vid 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!
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