Trigonometry - Easy to understand 3D animation

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IMPORTANT CORRECTION: The proper way to write the law of cosines is
C^2 = A^2 +B^2 - 2AB cos(Ψ)
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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).
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EugeneKhutoryansky
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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.

willyw
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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.

EugeneKhutoryansky
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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!

Snikrappy
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FINALLY SOMEONE IS USING GAMING GRAPHICS FOR MATH AND SCIENCE

terry
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it should be mandatory to show this video in every class that is teaching trignometry. HOLY this makes so much sense.

Bariq
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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!

joelholder
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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
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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!

jayalba
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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!

TheDrBB
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12:56 MIND BLOWN!!! this is how you convert a PHASOR (cyclic oscillations) into a WAVE function

ShekaranJagadeesan
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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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EugeneKhutoryansky
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I love the idea of extending an axis for theta. The graphs of sine and cosine really come organically.

blz
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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.

VoidHalo
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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. 👍🏽👍🏽

lordflako
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if only i was taught trig like this back in high school

ohaRega
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Best animation and clear explanation ever in youtube!!

Thanks for uploading it and making it such a comprehensive!!

Thanks again!!

christinadc
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Brilliant demonstration.. brilliant music.. brilliant everything!
THANK YOU!

m.raedallulu
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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.

sfGuy
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I'm trynna concentrate but that sonic music distracts me

CrewMotleyCrue