Analytic expression of asymmetric function?

Question

Mathematics

There is a classical sinusoid (symmetric), it is necessary to obtain a function that would give asymmetry, as shown in the graph below. There is already an option to put a sine into a sine. The function depends on the natural argument.
Maybe someone else has some ideas

Answer 1

sin(n) + sin(2n)
sin(n) + sin(3n)

Answer 2

Do you want to mirror it? Then it will be F(-x).
Do you want a formula from the graph in your drawing?
Tell us the whole task - psychics are already taking in euros, the crystal ball has broken, libastral.so is not going to.

Answer 3

Any periodic function can be represented as an infinite (in the worst case) or a finite (in the good case) sum of basis functions with multiply decreasing periods (spectrograms). In your smooth case, it is logical to take sinusoids f=a0+a1*sin(t+Ф1)+a2*sin(2t+Ф2)+a3*sin(3t+Ф3)+... This is the Fourier transform. For discrete periodic signals, it is better to use the Hadamard-Walsh transform.
Load your data into any math package and perform a Fourier transform on it.