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A019896 Decimal expansion of sine of 87 degrees. 16

%I #27 Aug 21 2023 10:14:28

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

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

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

%N Decimal expansion of sine of 87 degrees.

%C Equals sin(29*Pi/60). - _Wesley Ivan Hurt_, Sep 01 2014

%C An algebraic number of degree 16 and denominator 2. - _Charles R Greathouse IV_, Aug 27 2017

%H Ivan Panchenko, <a href="/A019896/b019896.txt">Table of n, a(n) for n = 0..1000</a>

%H Raimundas Vidunas, <a href="http://arXiv.org/abs/math.CA/0403510">Expressions for values of the gamma function</a>, math.CA/0403510

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Trigonometric_constants_expressed_in_real_radicals">Trigonometric constants expressed in real radicals</a>

%H <a href="/index/Al#algebraic_16">Index entries for algebraic numbers, degree 16</a>

%F Equals cos(Pi/60) = [5-sqrt(5)]*[1+sqrt(3)]*[2-sqrt(3)+sqrt{5+2*sqrt(5)}]/[8*sqrt(10)] = sqrt[(1+A019893)/2]. - _R. J. Mathar_, Jun 18 2006

%F Equals A019867 * A019870 + A019838 * A019841 = A019893 * A019896 + A019812 * A019815. - _R. J. Mathar_, Jan 27 2021

%e 0.998629534754573873784492058439436580590952290767785532441441...

%p Digits:=100: evalf(sin(29*Pi/60)); # _Wesley Ivan Hurt_, Sep 01 2014

%t RealDigits[Sin[87Degree], 10, 100][[1]] (* _Alonso del Arte_, Aug 31 2014 *)

%o (PARI) cos(Pi/60) \\ _Charles R Greathouse IV_, Aug 27 2017

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_.

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)