What does it mean for something to follow sinusodal motion? From my understandin

Question

What does it mean for something to follow sinusodal motion? From my understanding the function sine relates the angle of a right triangle to its sides (opposite/hypotenuse). So does sinusoidal motion mean that the output of a function is related to the input according to the ratio we see in a right triangle (opposite/hypotenuse).

For example, Simple Harmonic motion follows sinusiodal motion were Y=Asin(wt). Does this mean that the Y position ( the output) is a result of the amplitude multipled by the ratio of opposite/hypotenuse. In this case wt would be providing the angle.

Also, why would an object follow sinusiodal motion? Is it because the motion is circular with?

Explanation / Answer

those object or systems which can have periodic motions (An object with a periodic motion is restricted to move between two points) for example pendulums, an object which moves in circles, their motion can be modeled with a periodic function like a sine or cosine because these funtions are periodic.

sine and cosine functions are restricted to move between -1 and 1

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