A195710 -id:A195710 - cp's OEIS frontend

A195708 Decimal expansion of arccos(sqrt(2/5)) and of arcsin(sqrt(3/5)).

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

Offset: 0

Clark Kimberling, Sep 23 2011

			0.886077123792...

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for transcendental numbers

Cf. A073000, A105199, A195701.

[Arccos(Sqrt(2/5))]; // G. C. Greubel, Nov 18 2017

r = Sqrt[1/5]; s = Sqrt[2/5];
N[ArcSin[r], 100]
RealDigits[%]  (* A073000 *)
N[ArcCos[r], 100]
RealDigits[%]  (* A105199 *)
N[ArcTan[r], 100]
RealDigits[%]  (* A188595 *)
N[ArcCos[-r], 100]
RealDigits[%]  (* A137218 *)
N[ArcSin[s], 100]
RealDigits[%]  (* A195701 *)
N[ArcCos[s], 100]
RealDigits[%]  (* A195708 *)
N[ArcTan[s], 100]
RealDigits[%]  (* A195709 *)
N[ArcCos[-s], 100]
RealDigits[%]  (* A195710 *)

acos(sqrt(2/5)) \\ G. C. Greubel, Nov 18 2017

Equals arctan(sqrt(3/2)). - Amiram Eldar, Jul 04 2023

A195709 Decimal expansion of arctan(sqrt(2/5)).

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Sep 23 2011

			arctan(sqrt(2/5)) = 0.5639426413606...

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for transcendental numbers

Cf. A195708.

[Arctan(Sqrt(2/5))]; // G. C. Greubel, Nov 18 2017

r = Sqrt[1/5]; s = Sqrt[2/5];
N[ArcSin[r], 100]
RealDigits[%]  (* A073000 *)
N[ArcCos[r], 100]
RealDigits[%]  (* A105199 *)
N[ArcTan[r], 100]
RealDigits[%]  (* A188595 *)
N[ArcCos[-r], 100]
RealDigits[%]  (* A137218 *)
N[ArcSin[s], 100]
RealDigits[%]  (* A195701 *)
N[ArcCos[s], 100]
RealDigits[%]  (* A195708 *)
N[ArcTan[s], 100]
RealDigits[%]  (* A195709 *)
N[ArcCos[-s], 100]
RealDigits[%]  (* A195710 *)

atan(sqrt(2/5)) \\ G. C. Greubel, Nov 18 2017

cp's OEIS Frontend

A195708 Decimal expansion of arccos(sqrt(2/5)) and of arcsin(sqrt(3/5)).

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