"J. Mc Laughlin" wrote

Beta-N = ArcSin(N * 74.948/H * F)

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There are two typing errors in the above equation.

Beta-N does not mean Beta minus N.
It just means the N'th value of Beta.

And the intended equation should be -

Beta = ArcSin(74.948*N/H/F) degrees.

Alternatively,

Sin(Beta) = 74.948*N/H/F degrees.

That is, divide by F, NOT multiply by F.
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Reg, G4FGQ