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Sine and cosine from the unit circle

A point turns around the unit circle; its height (sin) or horizontal position (cos) is traced against the angle into the wave.

Parameters

Frame
Style

720p preview, watermarked, no credits · About 31s

Live sketch. The film is rendered by Manim, with captions and motion.

Storyboard

  1. 01Unit circle
  2. 02The projection
  3. 03One turn
  4. 04The wave

Key values in the video

Period
2π
Range
[-1, 1]