A019896 Decimal expansion of sine of 87 degrees.

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, 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, 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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Equals sin(29*Pi/60). - Wesley Ivan Hurt, Sep 01 2014

An algebraic number of degree 16 and denominator 2. - Charles R Greathouse IV, Aug 27 2017

Examples

			0.998629534754573873784492058439436580590952290767785532441441...
		

Links

• Ivan Panchenko, Table of n, a(n) for n = 0..1000
• Raimundas Vidunas, Expressions for values of the gamma function, math.CA/0403510
• Wikipedia, Trigonometric constants expressed in real radicals
• Index entries for algebraic numbers, degree 16

Programs

Maple

Digits:=100: evalf(sin(29*Pi/60)); # Wesley Ivan Hurt, Sep 01 2014

Mathematica

RealDigits[Sin[87Degree], 10, 100][[1]] (* Alonso del Arte, Aug 31 2014 *)

PARI

cos(Pi/60) \\ Charles R Greathouse IV, Aug 27 2017

Formula

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

Equals A019867 * A019870 + A019838 * A019841 = A019893 * A019896 + A019812 * A019815. - R. J. Mathar, Jan 27 2021