[seqfan] Re: Beauty

[Artur]

Trigonometric unity
(Cos[x])^2+(Sin[x])^2=1
Hyperbolic unity:
(Cosh[x])^2-(Sin[x])^2=1
My unity:
(Cosh[(2 n - 1) ArcSinh[Sqrt[2]]])^2 + (Cos[(2 n - 1) 
ArcSin[Sqrt[3]]])^2 = 1

Best wishes,
Artur Jasinski

Artur pisze:
> Dear Seqfans,
> Formula discovered today by me which merge hyperbolic World with 
> eliptic World (the stranges which I know in Mathematics in general):
> Cosh[2 n ArcSinh[Sqrt[2]]]= (-1)^n Cos[2 n ArcSin[Sqrt[3]]]
>
> Best wishes
> Artur
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