From a physical system I got the following relation:
$$ c_M = \sqrt{ \frac{c_s}{\sin{\alpha_s}} } \sqrt{ \frac{L}{\Delta t - 2 t_s} } $$
From measurements multiple pairs of $(L,\Delta t)$ are known, $c_s$, $\alpha_s$ are given constants. It is further known that $c_M$ and $t_s$ are constant values for all $(L,\Delta t)$.
How can I find the values for $c_M$ and $t_s$?