

A195695


Decimal expansion of arcsin(sqrt(1/3)) and of arccos(sqrt(2/3)).


7



6, 1, 5, 4, 7, 9, 7, 0, 8, 6, 7, 0, 3, 8, 7, 3, 4, 1, 0, 6, 7, 4, 6, 4, 5, 8, 9, 1, 2, 3, 9, 9, 3, 6, 8, 7, 8, 5, 5, 1, 7, 0, 0, 0, 4, 6, 7, 7, 5, 4, 7, 4, 1, 9, 5, 2, 7, 7, 7, 4, 1, 6, 6, 8, 3, 1, 9, 9, 6, 1, 5, 7, 2, 3, 9, 1, 2, 8, 0, 4, 3, 9, 2, 6, 6, 2, 5, 8, 1, 0, 0, 8, 5, 4, 3, 0, 4, 6, 0, 5
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OFFSET

0,1


COMMENTS

The complementary magic angle, that is, Pi/2  A195696. The angle between the bodydiagonal and a congruent facediagonal of a cube. And also the polar angle of the cone circumscribed to a regular tetrahedron from one of its vertices.  Stanislav Sykora, Nov 21 2013
This is the value of the angle of the circular cone to the axis, that maximizes the volume of the cone enclosed by a given area. See the +plus link.  Michel Marcus, Aug 27 2017


LINKS



FORMULA



EXAMPLE

arcsin(sqrt(1/3)) = 0.61547970867038734106746458912399...


MATHEMATICA

r = Sqrt[1/3];
N[ArcSin[r], 100]
N[ArcCos[r], 100]
N[ArcTan[r], 100]
N[ArcCos[r], 100]


PROG



CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



