Setups other learners found interesting in Trigonometric Circle. Try one, then tweak it.
Drag the angle θ around the unit circle and watch every trigonometric function appear as a real length: sine and cosine as the coordinates of the point, tangent on the vertical line x = 1, and their reciprocals as related segments. A generalized sine wave A·sin(ωθ + φ) plots alongside, tying the circle to the graph.
A vector has magnitude and direction. Split it into components and addition, scaling, dot and cross products all become simple arithmetic.
Go to blog
Two frictionless blocks and a wall, all collisions elastic: count the clacks and you get the digits of π. The physics, from first collision to proof.
Go to blog