after reading this discussion about the sinusoidal function using for different effects (breathing, shaking , wave production, floating , movements, animated objects, etc.) I decided to try to explain it in a simple picture and video (gif) form.

Here is the example expression for a moving part in the X Axis (X Position).

(160 + ( 120 * ( sin ( #DWE# * 2 * pi ) ) ) )

And here is a kind of graphic description of this formula.

Putting this here in case someone is looking for a similar alternative with slightly different behavior:

Linear Function, Cycled Motion, but with the same parameters
(where you see 160 that is the â€śstart pointâ€ť, where you see 120 that is the â€śdistanceâ€ť and where you see 2*#DWE# that is the â€śspeedâ€ť. As you can see, the linear version requires all these inputs more than once )