Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

Geometric Visualizations of Trigonometric Identities

A way to see the basic trigonometric identities geometrically. i.e. what do these identities really mean geometrically ? sin(2X) = 2sin(X)cos(X) cos(2X) = cos(X)^2 - sin(X)^2 While it is easy to derive the identities by applying e^(iX) = cos X + i sinX , I was curious to see it more geometrically, and helpfully, I received some insights and was able to see how this lines up. [ Brown paper based explainer is obviously and totally inspired by and in homage to the @numberphile channel. :) ]


Analytics

3.17 Overall score*
124 Rank
9 Votes
5 Comments

Comments

3.3
paper crumpled
3.2
Sound was occasionally hard to make out
3
It is good that we want to visualize these identities but the actual explainations weren't very clear even though I was looking at the drawings. I also don't feel the approach was very novel as these visuals have been made everywhere else on the internet and I likely won't remember them when I try to recall this video.
1.2
- visually: I can not really see your writing with your hand in the way, the red sharpy is too weak - audio: too much noises, the comments of the woman is funny, but it disturbs more than helps - you are teaching a very basic topic, but I think I wouldn't understand it as a pupil as the motivation is lacking, what are the equations for? you remind me of one of my tutors in microeconomics, who couldn't really deal with the tech of zoom and was filming a sheet of paper he was writing it. don't get me wrong, I think you are from math, but it's about the presentation. 1/10 not hitting the nail
2.5
Volume is too low and pacing is too slow and dragged out. Would have benefited from an animated and faster style.