Просматривайте отобранные примеры анимаций по теме Trigonometry в разделе Math, включая переиспользуемые сцены Manim, визуальные доказательства и идеи для преподавания.
Math · 3 анимации
This animation shows the unit circle definition of sine and cosine. A point traces the circle as angle θ sweeps from 0 to 2π. Vertical (sin) and horizontal (cos) projections are drawn in real time. Simultaneously, sin and cos waves trace out on a graph panel to the right, creating an intuitive visual connection between circular motion and wave graphs.
Shows the complex plane as a geometric framework where multiplication by i corresponds to a 90-degree rotation. Builds up to Euler's formula e^(iθ) as a general rotation, culminating in the famous identity e^(iπ) = -1.
Demonstrates how a square wave can be decomposed into and reconstructed from sine waves. Individual harmonic components animate in one by one, and the running partial sum curve updates to show convergence toward the square wave.
