Summer of Math Exposition

TL;DR: The fundamental motivation, concepts, and identities of elementary trigonometry visually from the ground up. ========== If you are familiar with the 3Brown1Blue channel, you also likely aware of Grant's excellent "Essense of Calculus" and "Essense of Linear Algebra" series. That experience is what I attempted to recreate in this film; I wanted to present a perceived abstract and tedious topic from the bottom up in a visuals-prioritized form. I've seen many students struggle with Trigonometry, and I personally have also experienced how frustrating it is trying to understand the intricate topics. I also know many students (including myself) have been asked to "memorize" these concepts, which I personally believe is very ineffective in motivation and learning. Thus, I attempted this summer to create learning material to help students intuitively grasp the topic, with a focus on motivation and fundamental definition and understandings. The general topic outline is as follows: 0. Introduction. 1. The Motivation Behind Trigonometry - Why It's So Important. 2. Very Quick Review of Fundamental Concepts/Definitions - Soh Cah Toa. 3. Radian Angles Measurements - Why Would We Put π in Angles? 4. Basic Trigonometric Angles (30, 45, 60 and how they are derived + 0 and 90), and how they are computed primatively. 5. Intuitively Extending Trig Angle Inputs Beyond 90 degrees. 6. The Connection to Unit Circle. 7. Basic Identities and their Geometric Visualizations. 8. Misc. & Conclusion. Note that I skipped topics like Inverse Trigonometric Functions or the Geometric Proof of the Law of Cos in interest of time and keeping in line with the mission. ========== The video was posted to the Steakmath YouTube channel at https://youtube.com/@steakmath.