A019814 Decimal expansion of sine of 5 degrees.

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• changed

Comments

An algebraic number of degree 12 and denominator 2. - Charles R Greathouse IV, Aug 27 2017

Examples

			0.087155...
		

Links

• Ivan Panchenko, Table of n, a(n) for n = 0..1000
• Index entries for algebraic numbers, degree 12

Crossrefs

Cf. A019810, A019813, A019895, A019898.

Programs

Mathematica

Join[{0},RealDigits[Sin[5 Degree],10,120][[1]]] (* Harvey P. Dale, Jun 06 2018 *)

PARI

sin(Pi/36) \\ Charles R Greathouse IV, Aug 27 2017

Formula

Equals A019813 * A019898 + A019810 * A019895. - R. J. Mathar, Jan 27 2021

Equals sin(Pi/36) = cos(17*Pi/36). 2*this^2-1 = -A019889. - R. J. Mathar, Aug 29 2025

One of the 12 real-valued roots of 4096*x^12 -12288*x^10 +13824*x^8 -7168*x^6 +1680*x^4 -144*x^2 +1 =0. - R. J. Mathar, Aug 29 2025

Extensions

Zero added in front by R. J. Mathar, Feb 05 2009