I've made up the equation: $\sin\left(\frac{5n\pi}{2}\right)=1$. Through experimenting I figured that this equation holds for $n = 0.2 + 0.8\,m$. Why is that?
2026-04-24 10:42:54.1777027374
When sine is equal to one (depending on multiplier)?
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Do you know the general answer to $\sin(x)=1$? It is $x=2k \pi + \pi / 2$. Thus:
$$2.5 n \pi = 2k \pi + \pi / 2 $$
Which yields:
$$ n = (4*k + 1) / 5 = 0.2 + 0.8 k$$