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Bibliothek/Math/Trigonometry

Trigonometry animation videos

Browse curated Trigonometry animation examples in Math, including reusable Manim scenes, visual proofs, and teaching-ready ideas.

Math · 3 Animationen

Trigonometry & the Unit Circle

Trigonometry & the Unit Circle

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.

Complex Numbers as Rotations

Complex Numbers as Rotations

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.

Fourier Series

Fourier Series

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.

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