Sine of a Sum I (visual proof; trigonometry)
10,022
Published 2022-03-08
This animation is based on a proof due to Christopher Brueningsen from the April 1993 issue of Mathematics Magazine (doi.org/10.2307/2691126) page 135.
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Background music:
Cinematic Ambient Beat | STEPS by Alex-Productions | / @alexproductionsnocopyright
Music promoted by www.free-stock-music.com/
Creative Commons Attribution 3.0 Unported License
creativecommons.org/licenses/by/3.0/deed.en_US
All Comments (21)
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Nice! Very clear visual proof.
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triangles are always interesting! Congratulations!
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Deserves a lot more likes really
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Love from india sir ❤, I have only found your video on youtube regarding my Problems sir great respect from the bottom of my heart Edit-I am in class 10th sir
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You are amazing, I wished my teacher was like you.
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Very nice. Which software do you use for making such kind of amazing animation?
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best derivation of sin(a+B) on the internet
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among all the proofs the one is the easiest to memorize, thank you
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This is great, such a simple way of deriving this! I was wondering how we get to cos(a+b) using a similar method, but we could just take a -> pi/2 - a and b -> -b in the sin(a+b) formula. I wonder how this would look visually
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very smart ❤ i don't know the simplest way but using Euler's formula and imaginary number <333 thanks so much
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Awesome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Nice prove , although it would do some weird things when considering over whole Real Domain (0,PI/2) is the best
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beautiful
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I'm very new to learning this concept, so I maybe missed something, but doesn't this proof mean that sin (a+b) also could equal = sin(a)cos(a)+cos(b)sin(b) (which it doesn't). Why is the y value put on the opposite trangle? What am I missing? Thanks for answer.
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Plz why y interchanging y for opposite sides
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wonderfull👍👍
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Wow ❤️
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like it..
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You miss a lot of steps. I wonder how many people can fill in these steps
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something is missing, ,the first formula to derivate the others so it's uncomplety. but welld one.
