Say I have a sinusoidal function $s(x)=\alpha \sin(\beta x - \gamma) + \delta$ and the linear function $f(x)=mx+b$. How can I find $x$ exactly such that $s(x)=f(x)$?
I can't solve it like a normal function because the sine can't be removed.
I know I could use Newton's method or some other iterative method, but is it possible to find an exact answer? I have a feeling it might be done with differential equations, but I don't know how that would be done.