To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.
Can you show trigonometry for earthquake 🕉🕉🕉🕉🙏🙏🙏🙏 Since result of force differences are ultimately become the cause of resultant rupture in earthquake like we see in Nepal Earthquake have dimention Within limits of total momentum of Earth's angular momentum 🕉🕉🕉🕉
Why does the producer of an, otherwise, fantastic video feel compelled to include the worst music possible which is a huge distraction? In fact, NO music is needed.
@@EugeneKhutoryansky I really wish you had done more work on the visual alternate representations of pythagoras theorem (showing how the squares are made up) and the law of cosines, showing how 2AB*cos(phi) graphically varies. Other than that thank you!
I watched this video about 5 years ago, I found the animations really helped make intuitive sense of the mathematics, something I was ok at in school but never had the interest in it to go any further. After watching this video and the rest on this channel I began learning more maths and physics in my spare time and really took an interest. This summer I graduated with a BSc in Mathematics and Physics, thank you for taking the time to make these, getting me and countless others started on that path!
Thank you so much. I finally understand the spatial implications of sine and cosine now. The animation makes so much more sense to my brain than a 2D whiteboard. Really appreciate this. You have my lifelong gratitude!
Everyone, if you liked this video, you can help more people find it in their search engines by clicking the like button and writing a comment. More physics videos are coming soon. Thanks.
Trigonometry does not make much sense without visuals. This is hands down excellent! Best visuals I've seen by far. dude, i was in scholl in the 90s and it was dead easy, but you young generations are so helpless using your own mind.
Wishing these 3D video explanations of algebra, trigonometry, and calculus were available back in my high school days. Now this is the kind of math that makes me smile : D. Awesome job, Eugene!
Wow. An Amazingly well done cover of a great tune from a classic video game AND math being explained just as amazingly well in the same video. Two of my favourite things in one video. Just incredible.
OMG...all my years taking math from high to college, I'd never understood why cos and sin was wave on the graph. Even my math teachers couldn't explain to make it easy to understand. I'm not a math major, but had to take a lot of math course for my major. I was taught to just remember how to use trig, but never really understood it. Now I fully visually see the big picture. Thank you soooo much for making this video.
The best way to learn math is to visualize the proofs, and concepts. Shame that it's thought so rough and dry in the schools. Also I remember that a lot of material was being omitted for the sake of time, because most of the regular students are slow learners.
This is how I imagined it in school. I would make these images in my head of these lines moving as si and it helped me gain a deeper understanding of it. It made trig class so so so easy. Glad you put it into a video because I feel that this is one of the best ways to learn trig. 👍🏽👍🏽
I don't know how you get all the patience to explain every topic like a movie or a documentary with wonderful animations. One of the most unique and informative channels I've ever seen.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ruclips.net/user/timedtext_video?ref=share&v=ovLbCvq7FNA You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.
I enjoy your animated lessons. In 1988, my Engineering School implemented this system into all Electronics Engineering courses. It was all driven by Hypertext, which made it ahead of today's common usage. Each student had an input keypad, used to answer questions and input solutions for the quiz given after every section in each class. They would only proceed to the next module when a required % of the class answered the questions correctly. Sections would be repeated as needed to meet the standard. Our class had a large Honors group. I was disappointed to hear that a couple of years after I graduated, the system was abandoned, citing expense. Apart from the error at 8:30 that you later corrected, this is a good production. I have to vote against any music that plays during narration, as it distracts from the message. Viewers can easily use music in their own environment, if they like it. Those of us who prefer to focus entirely on the subject are unable to mute the music without losing the valuable narration. Without the loud music overlapping the narration, your productions would be excellent for both "styles" of viewers. This style of explanation is very effective and I salute your work! Thank you, these are great tools that I heartily recommend to anyone who asks for help clearing up the topics you cover.
I understood whole concept,and the entire concept depends on the circle you showed at first...my doubt is why it is only from circle why not another... What is special in circle?
@@deantinney9120 Yes. There is probably a way for him to give us a choice of narration with or without music. I enjoy the music often but in this video there was an overly loud section that I couldn't mentally ignore and I'm struggling to give all my attention to the narration. I'm 71 and have never been able to comprehend this material even though I've studied it many times.
This is exceedingly good, I completely understand now! My math teacher could never explain like this. Man I wish they just showed us this video, then we wouldn't have to take 80 minutes to learn it, just 20.
I feel enlightened! There hasn't been such a clear explanation of cos and sin! Especially the wave! I was mind blown! This is the best explanation I've ever seen /heard/actually understood! I felt a strong 'connecting the dots' feeling.
I love these videos, they're really good at turning hard to understand and abstract concepts into something I can get. Looking forward to the next one.
this is certainly an interesting way of looking at it. wish i knew about this when i was doing pre calculus. for some reason seeing this made radians more understandable then i ever thought possible. and I really love the throwback (90's video game style music backdrop)
That was such an awesome video! Great visual explanation of what and how trig is used. The random switch to the jet flying and the music made the whole awesome and engaging. Thank you!
Mindblowing explanation. I can't believe trigonometry is taught in schools without any visualizations like this. I'm so happy for the kids of the future who will be able to build a solid intuition thanks to amazing resources like yours. Thank you.
This was amazing - the animations made everything so clear to me! Thank you for taking the time to make this video and share your knowledge. It's very much appreciated.
This is the BEST presentation of of the "dreaded" Trig functions. One can see in 3-D what the progressions means than to just simply memorizing the formula. Many thanks for this beautiful presentation. Trig functions are now "un-dreaded".
Your 3D animation videos on maths and physics are simply the great. I wish there were more and more such insightful animations by others as well. You tube maybe already has become or bound to become the greatest educational institution. The governments around the world should allocate fund to create such educational materials.
Incredible video! It's all finally starting to make sense. If only I'd had it 19 years ago. I am going to watch it at least 5 times. Thank you so much!!
Adding to the chorus - THANK YOU! Trig classes were 40+ years ago for me, and this is the first time in my life that anyone ever explained what SIN and COS actually represent! We were just presented with the formulas to calculate them when given a triangle, without even any attempt to explain *why* calculating them is useful, never mind understanding what was being calculated. Lots of practice and testing later, they tossed in secants, tangents, and all the "co-" functions as just more formulae to be memorized and tested on. And although I kinda/sorta got that Radians were a measure of "circular distance", which could be used instead of angle, your visual was the first time it made any sense. Sigh - so many decades wasted without understanding... (BTW - I've been subscribed to your channel for a few years now, but only found it long after 2015. While I very much appreciate all the new content as you manage to post them, this is the first time I've gone back to older videos - and now I wish I'd done it sooner!)
Thanks for the compliments. Yes, this is a problem with the education system. The teachers fail to explain what the formulas actually mean because they don't understand it themselves. They are just teaching it the way they themselves were taught. Thanks.
Now I see why sine is called sine! When you add the Z axis to represent theta, and as the hypotenuse kept rotating, you could see a sine wave formed by the sine and cosine trail! Truly amazing!
It would be cool to have versions of the videos without the music, I must admit that it is very distracting! They are great videos though, thank you for making them.
if I wasn't a broke student, I'd have donated a lot of money to this channel. I absolutely adore your voice and your narration - the great people behind all of the animations, and most importantly the method the knowledge is presented in all of your videos. I love you all and thanks!
Thanks. I understand that many of my viewers are students who don't have any money and are unable to donate at this time. That is OK. I am just glad that my videos are helpful. You can always help out just by sharing the links to my videos with your friends and classmates. By the way, I make all the animations myself. The narration is done by my friend, Kira Vincent.
I wish I had this video in high school. It would have made understanding all the terms like sine and cosine much easier. Kids today have it so much easier! I had an old beat up third hand text book full of scribbles and doodles and THAT was it! No net, no 3D animations...just an old book and an old crotchety, cantankerous teacher
If we managed to survive that, I think we can survive anything now. Some kids now will see this animation and won't get it. Let's use such technology to understand more complicated topics that we would have never understood before.
So much this. I just discovered this channel, have seen some videos (Maxwell equations, Fourier Transform).. and this one.. just the first 5 minutes gave me more of an understanding about sine/cosine than all of high school. Seriously.. I'm very much a visual learner for things like these and this is amazing. The Fourier video was jaw dropping!
This channel and all folks involved... Thank you! Brilliant work. Brilliant. I hope you continue and may the times smile favorably upon you. Thanks, I wish you a good day and hope you eat something warm later
I have been teaching mathematics for twelve years and online for 6. This is BY FAR one of the best videos I have come across!! Brilliant! Love the guitar rock in the background, too! :-)
libbygore Thanks for the compliment. I am glad you liked it that much. If you haven't already seen them, you may also want to check out my other math videos too.
This is the best video for building an intuitive understanding of trigonometry and the trigonometric functions, by far. Should be mandatory viewing for any student about to start the subject, as it ensures anything else is built upon a solid foundation.
Tyler Sanzo Yes, future videos will be on more complex topics, and most of them will be on physics as opposed to mathematics. I felt like I needed to do a video on trigonometry because there are many people who don't understand it well, and this causes them to struggle with all the other subjects. And thanks for the compliment. I am glad you liked the video.
Eugene Khutoryansky Please do Physics and Mathematics side by side. For Physics, I wish you will consider some on Quantum Field Theory, Quantum Electrodynamics, String Theory, etc.. You are really good at teaching :) Thank you.
Modern math/physics students have no idea how lucky they are to have access to visuals like this. Seeing in 3D is much easier than trying to think in 3D. Thanks very much for doing this. These concepts are actually quite simple when displayed properly.
This is a great video I have an 8th grade education and with this I have a decent understanding of trigonometry. But I would like to see it explained in better detail specifically tan cotan sec and cosec. I was also having a hard time understanding how to calculate frequency? I mean I guess I have a basic understanding of trig now I could easily draw a 3d graph now if I had the information for it. I can see it but I could use a little more in depth information in understanding the calculations and especially for tan cotan sec and cosec.
You actually do not need the z-axis to derive the sine. Just introduce a timeline still in two dimensions, then you get the sine curve from the sine value of each angle. In the timeline you have the period between max or min amplitude. From the period on the timeline you can derive the frequency. So, there are some steps which should be explained in between. (Sorry my limited English)
Thanks for this. I've always had trouble conceptualizing the unit circle, but this made it quite intuitive. Kinda wish you included polar coordinates though. lol
You already know how much I love your videos. Your deep understanding in math and physics is noticable. I'm glad you decided not to go the same way as many other science channels did. Your videos are long when necessary, because contrary to others you don't tend to rid out many important issues. Math and physics are such beautiful things that they deserve to be presented precisely in every single aspect. Keep it up Eugene. Today's video is way way too elementary for me. I hope to see some more complex topics. Would you venture to touch M-theory or QFT?
Finally, after so many years since I took trig in high school, this video explained in just a few minutes, what has eluded my understanding for so long. Thank you for an outstanding presentation.
I have never even studied trig, and have been trying to learn it. This video has explained in 16 minutes more than any 1 hour + video i have seen. It all makes perfect sense now! Thank you!!!!
wilsimarbr A video on vectors and matrices is on my list of videos that I eventually plan to make, but this may have to wait a while, as there are many other topics in physics that I would like to make videos on first. It seems to me that there is a much greater demand from viewers for more physics videos, as opposed to videos on pure mathematics such as this one.
The video needs to be shown in EVERY Trig class at the beginning so people understand these graphs are projected out and back!!! It really helps because for the longest time i couldn't understand what was happening on the paper as cos and sin just looked like the regular smegular number lines back in prek. Therefore when we started graphing i had a very difficult time. Thank you so much for your expertise and hard work!
It is the relationship between three sides of a triangle, in a right angle triangle we have a^2+b^2=c^2 For any other triangle relationship is a^2+b^2=c^2-2ab*cos(Φ) Where Φ is the angle opposite to side of length c And a, b, c are length of three sides of triangle
Not enough to view stunning animations. You have still to do some exercises with paper and pencil. There are a lot of small steps missing in this explanation, but I agree that the animations are nicely made as an addition to self study.
wow! I relearnt this just recently but this vid changed it from abstract ideas to a more mechanical concept that seems so much easier to grasp. Nice one bro.
To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
--To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
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Can you show trigonometry for earthquake 🕉🕉🕉🕉🙏🙏🙏🙏
Since result of force differences are ultimately become the cause of resultant rupture in earthquake like we see in Nepal
Earthquake have dimention
Within limits of total momentum of Earth's angular momentum
🕉🕉🕉🕉
@@anilsharma-ev2my no
Why does the producer of an, otherwise, fantastic video feel compelled to include the worst music possible which is a huge distraction? In fact, NO music is needed.
@@leek5890 why
You are doing a really great job but please get the music down a notch :( or choose some real elevator music
Trigonometry does not make much sense without visuals. This is hands down excellent! Best visuals I've seen by far. Thank you so much for your work.
Thanks for the compliment.
willy w well math is spatial, and so is geometry.
Cheers to that!
@Leonardo Deleon You're not watching a movie, you can rewind, stop and ponder.
@@EugeneKhutoryansky I really wish you had done more work on the visual alternate representations of pythagoras theorem (showing how the squares are made up) and the law of cosines, showing how 2AB*cos(phi) graphically varies. Other than that thank you!
I watched this video about 5 years ago, I found the animations really helped make intuitive sense of the mathematics, something I was ok at in school but never had the interest in it to go any further. After watching this video and the rest on this channel I began learning more maths and physics in my spare time and really took an interest. This summer I graduated with a BSc in Mathematics and Physics, thank you for taking the time to make these, getting me and countless others started on that path!
Thanks. I am glad my videos have made a difference.
FINALLY SOMEONE IS USING GAMING GRAPHICS FOR MATH AND SCIENCE
Mr. William wouldn't call this a triffle.
it shouldnt be used for that
Don't put your bullshit here... @terry1919 this is not for people like you
Yet, these video has a guitar solo instrumental too❤
G A Y M I N G
Thank you so much. I finally understand the spatial implications of sine and cosine now. The animation makes so much more sense to my brain than a 2D whiteboard. Really appreciate this. You have my lifelong gratitude!
I’m very unlucky to learn trigonometry from different source
Everyone, if you liked this video, you can help more people find it in their search engines by clicking the like button and writing a comment. More physics videos are coming soon. Thanks.
What program did you use to make the 3D animations? These are great.
Sean Chen
It looks Like Blender a free 3d rendering software
Sean Chen I used a program called "Poser" from Smith Micro.
Eugene Khutoryansky oh cool, never heard of it though but this is still really good
problems
it should be mandatory to show this video in every class that is teaching trignometry. HOLY this makes so much sense.
+SelfGlassImage, thanks for the compliment about my video.
Trigonometry does not make much sense without visuals. This is hands down excellent! Best visuals I've seen by far.
dude, i was in scholl in the 90s and it was dead easy, but you young generations are so helpless using your own mind.
Thanks for the compliment about my video.
I can't even tell how much I'm grateful! Nobody in school ever explained it to me, even that I had hours of exercises. Amazing!
+SpeedyBangBong, I am glad that you liked my video that much. Thanks.
“This is a sine” *METAL INTENSIFIES*
Not metal, anodised plastic.
@@southernkatrina8161 ... I don't know if you are joking or not, but he meant heavy metal music.
😄
Hell yeah🤘🤘
All of a sudden a military jet with missiles starts flying through a city
Wishing these 3D video explanations of algebra, trigonometry, and calculus were available back in my high school days. Now this is the kind of math that makes me smile : D. Awesome job, Eugene!
12:56 MIND BLOWN!!! this is how you convert a PHASOR (cyclic oscillations) into a WAVE function
Also a primer for understanding quantum wave function
Also the metal music
Damn Eugene, you blew my freaking mind!! When you added the axis for theta I went insane. Absolutely amazing video man! Keep up the amazing work!
Thanks. Glad you liked my video.
Wow. An Amazingly well done cover of a great tune from a classic video game AND math being explained just as amazingly well in the same video. Two of my favourite things in one video. Just incredible.
Sonic The Mathematician
Novakira Sato
When your math teacher explains too fast.
lol that's hilarious
DUDE i was like is this a remix of the sonic theme?? idk why but it made learning the trig so much cooler
OMG...all my years taking math from high to college, I'd never understood why cos and sin was wave on the graph. Even my math teachers couldn't explain to make it easy to understand. I'm not a math major, but had to take a lot of math course for my major. I was taught to just remember how to use trig, but never really understood it. Now I fully visually see the big picture. Thank you soooo much for making this video.
Thanks. Glad my video was helpful.
I love the idea of extending an axis for theta. The graphs of sine and cosine really come organically.
blz346 I am glad that you liked that idea. That is something that is easy to do with a 3D animation, but not easy to do on a 2D chalk board.
Finally someone has explained it properly.
No math teacher took 10 minutes to explained visualy.
Best animation and clear explanation ever in youtube!!
Thanks for uploading it and making it such a comprehensive!!
Thanks again!!
Christina DC lot of trigonometry laws are not available
Helll yeah. LOL 😊😊 😊
You're cute. Thanks for being cute :)
Браво Евгений! Ваши видео бесподобны и потрясают до глубины души. Спасибо!
if only i was taught trig like this back in high school
The best way to learn math is to visualize the proofs, and concepts. Shame that it's thought so rough and dry in the schools. Also I remember that a lot of material was being omitted for the sake of time, because most of the regular students are slow learners.
This is how I imagined it in school. I would make these images in my head of these lines moving as si and it helped me gain a deeper understanding of it. It made trig class so so so easy. Glad you put it into a video because I feel that this is one of the best ways to learn trig. 👍🏽👍🏽
You are smart. What is your wage today?
@@bobhutchinson3638 Thanks! I’m in my senior year of mechanical engineering. Don’t have a job yet but my last internship paid $24 an hour 👍🏽
I just got stunned..I never ever imagined the concept like this....thanks to the team..
+Sonu S, Glad you liked it. Thanks.
I don't know how you get all the patience to explain every topic like a movie or a documentary with wonderful animations. One of the most unique and informative channels I've ever seen.
I'm trynna concentrate but that sonic music distracts me
Sonic the Hedgehog!
Mathallica!
Guys can you help me out here I'm trying to find the music at 5:29 D: please help me out here
Ahnaf Abdullah, the music at 5:29 is a remix of music from the game "Blaster Master." You can find this remix on the website "OverClocked Remix."
:D Thanks a lot, finally found it! The name is #394 'Dancer Master' if anyone else wants it
Brilliant demonstration.. brilliant music.. brilliant everything!
THANK YOU!
Glad you liked my video. Thanks.
all your vids are AMAZINGGG DO NOT STOP!! im waiting for the next :) ill try sharing some to spread the knowledge and amazing effort in ur part :)
mitsovios rex Thanks. I am glad you like my videos, and thanks for sharing them. And yes, lots more videos are on their way.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
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You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately.
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Thanks.
Physics Videos by Eugene Khutoryansk
Show yourself I love you
I enjoy your animated lessons. In 1988, my Engineering School implemented this system into all Electronics Engineering courses. It was all driven by Hypertext, which made it ahead of today's common usage. Each student had an input keypad, used to answer questions and input solutions for the quiz given after every section in each class. They would only proceed to the next module when a required % of the class answered the questions correctly. Sections would be repeated as needed to meet the standard. Our class had a large Honors group.
I was disappointed to hear that a couple of years after I graduated, the system was abandoned, citing expense.
Apart from the error at 8:30 that you later corrected, this is a good production. I have to vote against any music that plays during narration, as it distracts from the message. Viewers can easily use music in their own environment, if they like it. Those of us who prefer to focus entirely on the subject are unable to mute the music without losing the valuable narration. Without the loud music overlapping the narration, your productions would be excellent for both "styles" of viewers.
This style of explanation is very effective and I salute your work! Thank you, these are great tools that I heartily recommend to anyone who asks for help clearing up the topics you cover.
I understood whole concept,and the entire concept depends on the circle you showed at first...my doubt is why it is only from circle why not another... What is special in circle?
@@deantinney9120 Yes. There is probably a way for him to give us a choice of narration with or without music. I enjoy the music often but in this video there was an overly loud section that I couldn't mentally ignore and I'm struggling to give all my attention to the narration. I'm 71 and have never been able to comprehend this material even though I've studied it many times.
This is exceedingly good, I completely understand now! My math teacher could never explain like this. Man I wish they just showed us this video, then we wouldn't have to take 80 minutes to learn it, just 20.
I feel enlightened! There hasn't been such a clear explanation of cos and sin! Especially the wave! I was mind blown! This is the best explanation I've ever seen /heard/actually understood! I felt a strong 'connecting the dots' feeling.
I love these videos, they're really good at turning hard to understand and abstract concepts into something I can get. Looking forward to the next one.
My breath is definitely taken away, love the killler twist at the end showing how the sine/cosine functions are generated
Interesting visualization for trigonometric waves. Wonderful as always Eugene!
electrocat1 Thanks. I am glad you liked that visualization for the sine and cosine waves.
this is definitely the best version of trying to understand trigonometry that i came across.
Thanks for the compliment.
this is certainly an interesting way of looking at it. wish i knew about this when i was doing pre calculus. for some reason seeing this made radians more understandable then i ever thought possible. and I really love the throwback (90's video game style music backdrop)
This is the best, most complete, most straightforward explanation of this I have ever seen and I've been looking! Thank you so much.
Thanks.
This video would have changed my life in high school math classes. Thank you so much.
That was such an awesome video! Great visual explanation of what and how trig is used. The random switch to the jet flying and the music made the whole awesome and engaging. Thank you!
Glad you liked my video. Thanks.
Mindblowing explanation. I can't believe trigonometry is taught in schools without any visualizations like this.
I'm so happy for the kids of the future who will be able to build a solid intuition thanks to amazing resources like yours.
Thank you.
Thanks.
been coming back to this video for a few years now, just to keep the concepts fresh and intuitive in my head. thanks so much for these!
Wish I had seen this many many years ago. Your channel has truly gifted me with a ‘aha!’ Moment
The best video ive ever seen explaining this, if only the internet was like this when i was a kid, i wouldnt have suffered so much with Maths!!
Thanks for the compliment about my video.
This was amazing - the animations made everything so clear to me! Thank you for taking the time to make this video and share your knowledge. It's very much appreciated.
Thanks.
This is the BEST presentation of of the "dreaded" Trig functions. One can see in 3-D what the progressions means than to just simply memorizing the formula. Many thanks for this beautiful presentation. Trig functions are now "un-dreaded".
Thanks for the compliment about my video.
Why do we have schools with videos like yours?
To get perfect grades so employers know you're obedient enough to hire
Fake Frank very true.
don’t ?
Your 3D animation videos on maths and physics are simply the great. I wish there were more and more such insightful animations by others as well. You tube maybe already has become or bound to become the greatest educational institution. The governments around the world should allocate fund to create such educational materials.
Brilliant , i have understood more in these 16min video , then everything in school.
Incredible video! It's all finally starting to make sense. If only I'd had it 19 years ago. I am going to watch it at least 5 times. Thank you so much!!
Telling maths jokes is the first sine of madness.
Adding to the chorus - THANK YOU!
Trig classes were 40+ years ago for me, and this is the first time in my life that anyone ever explained what SIN and COS actually represent! We were just presented with the formulas to calculate them when given a triangle, without even any attempt to explain *why* calculating them is useful, never mind understanding what was being calculated. Lots of practice and testing later, they tossed in secants, tangents, and all the "co-" functions as just more formulae to be memorized and tested on.
And although I kinda/sorta got that Radians were a measure of "circular distance", which could be used instead of angle, your visual was the first time it made any sense. Sigh - so many decades wasted without understanding...
(BTW - I've been subscribed to your channel for a few years now, but only found it long after 2015. While I very much appreciate all the new content as you manage to post them, this is the first time I've gone back to older videos - and now I wish I'd done it sooner!)
Thanks for the compliments. Yes, this is a problem with the education system. The teachers fail to explain what the formulas actually mean because they don't understand it themselves. They are just teaching it the way they themselves were taught. Thanks.
I needed math to be taught like this from the beginning!
Now I see why sine is called sine! When you add the Z axis to represent theta, and as the hypotenuse kept rotating, you could see a sine wave formed by the sine and cosine trail! Truly amazing!
It would be cool to have versions of the videos without the music, I must admit that it is very distracting! They are great videos though, thank you for making them.
Out of the sudden it's all clear. Thanks for videos! They should be used in schools to save everybody time.
Haha, great animations, and I like the electrifying instrumental guitar music towards the end of the video. lol
The music like the circle was so encapsulating, it only confirms we are all Living Under The Dome.
lord have mercy, this tutorial gives me life.
This is like absolute perfection; the graphics, the narration, the information.
Thanks for the compliment.
if I wasn't a broke student, I'd have donated a lot of money to this channel. I absolutely adore your voice and your narration - the great people behind all of the animations, and most importantly the method the knowledge is presented in all of your videos. I love you all and thanks!
Thanks. I understand that many of my viewers are students who don't have any money and are unable to donate at this time. That is OK. I am just glad that my videos are helpful. You can always help out just by sharing the links to my videos with your friends and classmates. By the way, I make all the animations myself. The narration is done by my friend, Kira Vincent.
Physics Videos by Eugene Khutoryansky I absolutely have recommended your channel to many students as well as sharing to Facebook! 💙
This is not just a visual tutorial on the foundations of trigonometry ... It's a Work of Art.
Thanks for the compliment.
I wish I had this video in high school. It would have made understanding all the terms like sine and cosine much easier. Kids today have it so much easier! I had an old beat up third hand text book full of scribbles and doodles and THAT was it! No net, no 3D animations...just an old book and an old crotchety, cantankerous teacher
If we managed to survive that, I think we can survive anything now.
Some kids now will see this animation and won't get it.
Let's use such technology to understand more complicated topics that we would have never understood before.
I'm just amazed by the people who actually invented this stuff using only their sole imagination and common sense.
So much this.
I just discovered this channel, have seen some videos (Maxwell equations, Fourier Transform).. and this one.. just the first 5 minutes gave me more of an understanding about sine/cosine than all of high school.
Seriously..
I'm very much a visual learner for things like these and this is amazing. The Fourier video was jaw dropping!
THANKS
M J can
This channel and all folks involved... Thank you! Brilliant work. Brilliant. I hope you continue and may the times smile favorably upon you. Thanks, I wish you a good day and hope you eat something warm later
I have been teaching mathematics for twelve years and online for 6. This is BY FAR one of the best videos I have come across!! Brilliant!
Love the guitar rock in the background, too! :-)
libbygore Thanks for the compliment. I am glad you liked it that much. If you haven't already seen them, you may also want to check out my other math videos too.
Great video! This is one of the best science and math channels on youtube
Thanks for the compliment.
how can i do this in java ? 0:58 until 1:05
Best video I ever seen on Trigonometric function , got crystal clarity about Sine and Cosine after years. Thank u very much.
Thank you for the compliments about my video. I am glad it was helpful.
OMG!!! The theme from monkey island :D I LOVE IT!!
Fantastic animations. They make the concepts so clear. These videos should be mandatory watching as part of school curriculum in Physics. Thank you.
Thanks for the compliment about my videos.
By far the best visual explanation of the origin of sine an cosine.
Thank you!!
Thanks for the compliment.
I've learnt more from RUclips than whole 15 years of school
Everyone's Gangster until Eugene make the third axis for ɵ
This is the best video for building an intuitive understanding of trigonometry and the trigonometric functions, by far. Should be mandatory viewing for any student about to start the subject, as it ensures anything else is built upon a solid foundation.
Thanks for the compliment about my video.
I came for the trig and stayed for the monkey island theme
This is the first video I have seen from you. But this sold me instantly! Darn, I wish I cold have found these some 35 years prior.
I am glad you liked my video. I hope you like my other videos too. Thanks.
Great video yet again. Please continue to release new videos, preferably ones over topics a little more complex than trigonometry though.
Tyler Sanzo Yes, future videos will be on more complex topics, and most of them will be on physics as opposed to mathematics. I felt like I needed to do a video on trigonometry because there are many people who don't understand it well, and this causes them to struggle with all the other subjects. And thanks for the compliment. I am glad you liked the video.
Eugene Khutoryansky Please do Physics and Mathematics side by side. For Physics, I wish you will consider some on Quantum Field Theory, Quantum Electrodynamics, String Theory, etc.. You are really good at teaching :) Thank you.
Modern math/physics students have no idea how lucky they are to have access to visuals like this. Seeing in 3D is much easier than trying to think in 3D. Thanks very much for doing this. These concepts are actually quite simple when displayed properly.
Thanks.
I really do appreciate you making these videos. Very helpful. Thank you.
Thanks.
IT IS A FANTASTIC EXPLANATION! JUST AMAZING!!! It's beyond greatness! Thank you infinite times!!!
This is a great video I have an 8th grade education and with this I have a decent understanding of trigonometry. But I would like to see it explained in better detail specifically tan cotan sec and cosec. I was also having a hard time understanding how to calculate frequency? I mean I guess I have a basic understanding of trig now I could easily draw a 3d graph now if I had the information for it. I can see it but I could use a little more in depth information in understanding the calculations and especially for tan cotan sec and cosec.
bubbacoz what do you mean by frequency? Do you mean the period, by any chance?
If i were you, i would find the period. Remember from Physics that T=1/F ; where T=period and F=frequency
You actually do not need the z-axis to derive the sine. Just introduce a timeline still in two dimensions, then you get the sine curve from the sine value of each angle. In the timeline you have the period between max or min amplitude. From the period on the timeline you can derive the frequency. So, there are some steps which should be explained in between. (Sorry my limited English)
This is the millionth video I've watched that actually made sense.
Thanks for this. I've always had trouble conceptualizing the unit circle, but this made it quite intuitive. Kinda wish you included polar coordinates though. lol
Hugh Jass I am glad to hear that this helped you visualize the unit circle. Thanks.
This is one of the best visuals for educating. I have got so many epiphany’s from this video. It is truly unbelievable! Thank you for teaching!
Thanks for the compliments. I am glad my video was helpful.
You already know how much I love your videos. Your deep understanding in math and physics is noticable. I'm glad you decided not to go the same way as many other science channels did. Your videos are long when necessary, because contrary to others you don't tend to rid out many important issues. Math and physics are such beautiful things that they deserve to be presented precisely in every single aspect. Keep it up Eugene. Today's video is way way too elementary for me. I hope to see some more complex topics. Would you venture to touch M-theory or QFT?
Thank you for taking the time to create this very well made and presented video. Best explanation of trig I've seen yet.
Thanks for the compliment. I am glad you liked my explanation.
That soundtrack makes me feel that math is a adventure :)
this soundtrack makes the important information in this video distracted
Finally, after so many years since I took trig in high school, this video explained in just a few minutes, what has eluded my understanding for so long. Thank you for an outstanding presentation.
Thanks for the compliment.
This is so great that it is funny to watch.
I have never even studied trig, and have been trying to learn it. This video has explained in 16 minutes more than any 1 hour + video i have seen. It all makes perfect sense now! Thank you!!!!
Thanks.
I wish if i could give u a thousand likes
I am glad you like my video. Thanks.
Guys, I'm a big fan of your channel. Good job! Please keep creating new videos.
Great. thanks Eugene.. vectors and matrices videos please.
wilsimarbr A video on vectors and matrices is on my list of videos that I eventually plan to make, but this may have to wait a while, as there are many other topics in physics that I would like to make videos on first. It seems to me that there is a much greater demand from viewers for more physics videos, as opposed to videos on pure mathematics such as this one.
The best, most intuitive, explanation I've seen. Thanks for sharing!
Thanks for the compliment.
lol
sonic music
MONEKY ISLAND MUSIC!
Secretly an epic remix: music!!
I came back to this video in search of it
The video needs to be shown in EVERY Trig class at the beginning so people understand these graphs are projected out and back!!! It really helps because for the longest time i couldn't understand what was happening on the paper as cos and sin just looked like the regular smegular number lines back in prek. Therefore when we started graphing i had a very difficult time. Thank you so much for your expertise and hard work!
Thanks!
Since 08:31 I don't know what is going on there...
It is the relationship between three sides of a triangle,
in a right angle triangle we have a^2+b^2=c^2
For any other triangle relationship is
a^2+b^2=c^2-2ab*cos(Φ)
Where Φ is the angle opposite to side of length c
And a, b, c are length of three sides of triangle
ما شاء اللَّهَ يعني ابداع بكل معنا الكلمة ، وأخيراً حليت مشلتي مع الفرق بين cos و sin ، وشكراً جزيلاً ❤
still struggling a little lol, but the visuals are stunning and make it fun to learn!
Not enough to view stunning animations. You have still to do some exercises with paper and pencil. There are a lot of small steps missing in this explanation, but I agree that the animations are nicely made as an addition to self study.
wow! I relearnt this just recently but this vid changed it from abstract ideas to a more mechanical concept that seems so much easier to grasp. Nice one bro.
Awesome! I like the music!
Thanks.
Awesome ! Mindblowing !
Best Video on Trigonometry in whole youtube. That too in less than 20mins.
Thanks for the compliment about my video.