What does Sinusoidal mean?

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Shaped like a sine wave, or s-shaped.

200px-Sine_and_Cosine.svg.png
 
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Actually, I guess "S shaped" is more appropriate for "sigmoid". Whereas sinusoidal is shaped like a sine wave (as the others above have said).
 
Anything which is either a*sin(b*x) or a*cos(b*x). In physics, most of the time these will be things related to simple harmonic oscillators - pendulums, springs, etc.