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Decimal expansion of arccos(7/8).
11

%I #7 Nov 21 2024 07:47:34

%S 5,0,5,3,6,0,5,1,0,2,8,4,1,5,7,3,0,6,9,7,1,3,1,4,8,7,3,9,8,7,4,2,1,9,

%T 4,4,5,0,4,3,8,7,4,6,6,1,9,3,6,7,6,3,8,7,2,6,7,8,4,7,5,5,7,4,8,1,1,5,

%U 0,1,2,0,9,6,2,0,4,2,4,4,4,8,2,3,4,9,7,4,8,4,4,5,6,0,2,9,2,0,3,2,1,0,1,8,5

%N Decimal expansion of arccos(7/8).

%C Angle in radians of the least angle of the obtuse scalene triangle with sides of lengths 2, 3 and 4, the scalene triangle with least integer side lengths.

%C A140240 + A140242 + A140244 = arccos(7/8) + arccos(11/16) + arccos(-1/4) = Pi.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F arccos(7/8) = arcsin(sqrt(15)/8) = arctan(sqrt(15)/7).

%e 0.50536051028415730697131487398742194450438746619367638726784755748115012096...

%t RealDigits[ArcCos[7/8],10,120][[1]] (* _Harvey P. Dale_, Jan 13 2019 *)

%o (PARI) acos(7/8)

%Y Cf. A140239, A140241, A140242, A140243, A140244, A140245, A140246, A140247, A140248, A140249.

%K cons,nonn

%O 0,1

%A _Rick L. Shepherd_, May 14 2008