Intro to trig with a lurking mystery about cos(x)^2 Full playlist:    • Lockdown math   Home page: https://www.3blue1brown.com/ Brought to you by you: https://3b1b.co/ldm-thanks Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld ----------------- Contents: Introduction  - 0:00 Q1 Graph of (cos θ)²  - 2:14 Q2 Translations of cos θ to (cos θ)²  - 5:34 Q3 f(2x) = f(x)²  - 10:54 Intro to Trig  - 13:14 Q4 sin(3) & cos(3)  - 16:44 SohCahToa - 20:44 Q5 Leaning Tower  - 22:29 How to Compute Trig Functions?  - 30:59 Q6 sin(π/6)  - 33:34 Q7 cos(π/6)  - 36:19 Q8 Trig of -θ  - 43:34 Computing Trig Functions  - 47:44 Q9 cos(π/12)  - 0:49:54 Adv Trig Functions  - 0:56:44 Q10 Graph of tan(θ)  - 1:00:30 JSON comment  - 1:02:24 “The most exciting part of the lecture” –1:05:34 ------------------ The live question setup with stats on-screen is powered by Itempool. https://itempool.com/ The graphing calculator used here is Desmos. https://www.desmos.com/ Curious about other animations? https://www.3blue1brown.com/faq#manim Music by Vincent Rubinetti. Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com/ Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown