A195719 -id:A195719 - cp's OEIS frontend

A195716 Decimal expansion of arcsin((1/2)^(2/3)).

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

Offset: 0

Clark Kimberling, Sep 23 2011

			arcsin((1/2)^(2/3)) = 0.6815023816814...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers

Cf. A195717, A195718, A195719, A195712.

SetDefaultRealField(RealField(100)); Arcsin((1/2)^(2/3)); // G. C. Greubel, Aug 20 2018

r = (1/2)^(2/3);
N[ArcSin[r], 100]
RealDigits[%]  (* A195716 *)
N[ArcCos[r], 100]
RealDigits[%]  (* A195717 *)
N[ArcTan[r], 100]
RealDigits[%]  (* A195718 *)
N[ArcCos[-r], 100]
RealDigits[%]  (* A195719 *)

asin((1/2)^(2/3)) \\ G. C. Greubel, Aug 20 2018

A195725 Decimal expansion of arctan(sqrt(5/6)).

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Sep 23 2011

			arctan(sqrt(5/6)) = 0.7398807743787407668731810834348...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers

Cf. A195719, A195720, A195726.

SetDefaultRealField(RealField(100)); Arctan(Sqrt(5/6)); // G. C. Greubel, Aug 20 2018

r = Sqrt[5/6];
N[ArcSin[r], 100]
RealDigits[%] (* A195720 *)
N[ArcCos[r], 100]
RealDigits[%] (* A195719 *)
N[ArcTan[r], 100]
RealDigits[%] (* A195725 *)
N[ArcCos[-r], 100]
RealDigits[%] (* A195726 *)

atan(sqrt(5/6)) \\ G. C. Greubel, Aug 20 2018

Equals arcsin(sqrt(5/11)) = arccos(sqrt(6/11)). - Amiram Eldar, Jul 06 2023

cp's OEIS Frontend

A195716 Decimal expansion of arcsin((1/2)^(2/3)).

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