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Decimal expansion of arctan(6).
4

%I #12 Nov 20 2024 23:42:55

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

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

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

%N Decimal expansion of arctan(6).

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

%F From _Amiram Eldar_, Jun 05 2021: (Start)

%F Equals Pi/2 - A195774.

%F Equals arcsin(6/sqrt(37)) = arccos(1/sqrt(37)) = arccot(1/6). (End)

%e arctan(6)=1.40564764938026978095219340199580798810...

%t r = 6;

%t N[ArcTan[r], 100]

%t RealDigits[%] (* A195773 *)

%t N[ArcCot[r], 100]

%t RealDigits[%] (* A195774 *)

%t N[ArcSec[r], 100]

%t RealDigits[%] (* A195775 *)

%t N[ArcCsc[r], 100]

%t RealDigits[%] (* A195776 *)

%o (PARI) atan(6) \\ _Charles R Greathouse IV_, Nov 20 2024

%Y Cf. A195774, A195775, A195776.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Sep 24 2011