A019842 Decimal expansion of sine of 33 degrees.

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

This sequence is also decimal expansion of cosine of 57 degrees. - Mohammad K. Azarian, Jun 29 2013

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

Links

• Ivan Panchenko, Table of n, a(n) for n = 0..1000
• Wikipedia, Trigonometric constants expressed in real radicals
• Index entries for algebraic numbers, degree 16

Programs

Mathematica

RealDigits[Sin[33 Degree],10,120][[1]] (* Harvey P. Dale, Jul 26 2023 *)

PARI

sin(11*Pi/60) \\ Charles R Greathouse IV, Aug 27 2017

Formula

Equals A019831 * A019888 + A019820 * A019877 = (1/2) * A019896 + A019812 * A010527. - R. J. Mathar, Jan 27 2021