Sinusoids · Parameterization

Time to angle

The angle θ = 2πf·t advances one full turn every 1/f seconds, so f·t counts rotations and sin θ is the height of the rotating point.

Taught in Parameterization and substitution.

Sliders for frequency f and time t drive a point around a circle; readouts show rotations f·t, θ in radians and sin θ, and a checkbox runs time forward.

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