Description of the function graph

Question

I've need to somehow describe this function: The most similar function I guessed is the equation of the form y(x) = sin(x) + sin(3x) (green line) but it doesn't exactly what I needed. Maybe there is someone who knows how to describe it?

Answer 1

I noticed that your graph looks like a sine curve that's been wrapped around a cylinder viewed from above. From that I was able to work out the equation $y = -\sin(e \sin(x))$. Feel free to play around in desmos to modify it to your liking: https://www.desmos.com/calculator/jfwbvrmj7d

Is there any particular application you had in mind for this graph?

Answer 2

I've looked at the picture and made a crude approximation, but this should allow anyone who knows how to derive the real values used here to have somewhere to start https://www.desmos.com/calculator/jbfrwrju0e