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A201505 Decimal expansion of cos(1/2). 1

%I #15 May 14 2020 03:34:06

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

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

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

%N Decimal expansion of cos(1/2).

%C By the Lindemann-Weierstrass theorem, this constant is transcendental. - _Charles R Greathouse IV_, May 13 2019

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

%F Taylor series representation: 1 -1/(2^2*2!) +1/(2^4*4!) -1/(2^6*6!) -...

%e 0.877582561890372716... = sqrt((1+A049470)/2) = sqrt(1-A201504^2).

%p evalf(cos(1/2)) ;

%t RealDigits[Cos[1/2],10,120][[1]] (* _Harvey P. Dale_, Sep 22 2016 *)

%o (PARI) cos(1/2) \\ _Charles R Greathouse IV_, May 13 2019

%Y Cf. A053988.

%K cons,nonn,easy

%O 0,1

%A _R. J. Mathar_, Dec 02 2011

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Last modified April 24 17:02 EDT 2024. Contains 371962 sequences. (Running on oeis4.)