Set the rotation rate and radius; the vertical projection traces the sine to the right and the horizontal projection traces the cosine downward, a quarter cycle apart.
The claim above is what this widget demonstrates. Disagree with it?
A point moving around a circle of radius A at f turns per second has height A·sin(2πft + φ) and horizontal position A·cos(2πft + φ), so a sinusoid is uniform circular motion seen edge-on.
Taught in Sines & Spectra.
Set the rotation rate and radius; the vertical projection traces the sine to the right and the horizontal projection traces the cosine downward, a quarter cycle apart.
The claim above is what this widget demonstrates. Disagree with it?