What are some examples that require the use of Sinusoidal Regression? I am interested in knowing where do regression models of the form:
$$
\phi(x,A,B,C)=A\sin(kx+B)+C
$$
for a given $k\in\mathbb{R}$ are applied in domains such as engineering and science. What example are there that requires the use of this model?
I had encountered this model recently on math stack exchange. I would suspect the use of this model would be in a domain that heavily requires the use of signal processing but I can't seem to find any answer on the web of any application of sine regression.
These questions on MATHSE are mainly about how to transform the nonlinear sine model to a linear one via substitution in order to be solved numerically (such as using the normal system)
https://math.stackexchange.com/questions/3926007/least-squares-regression-of-sine-wave
https://math.stackexchange.com/questions/2368821/find-a-sinusoidal-regression-equation-for-some-given-data

There's a whole book on Bayesian approaches to this type of problem: Bayesian Spectrum Analysis and Parameter Estimation by Bretthorst (1988).  The underlying problem domain was in nuclear magnetic resonance (NMR) signal processing.
