A019833 -id:A019833 - cp's OEIS frontend

A019857 Decimal expansion of sine of 48 degrees.

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

Offset: 0

N. J. A. Sloane

An algebraic number of degree 8 and denominator 2. - Charles R Greathouse IV, Aug 27 2017

			0.74314482...

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Wikipedia, Exact trigonometric constants
Index entries for algebraic numbers, degree 8

Cf. A019833, A019875.

RealDigits[ Sin[4 Pi/15], 10, 111] (* Robert G. Wilson v *)

sin(4*Pi/15) \\ Charles R Greathouse IV, Aug 27 2017

Equals cos(7*pi/30) = 2F1(17/20,3/20;1/2;3/4) / 2. - R. J. Mathar, Oct 27 2008
Equals 2*A019833*A019875. - R. J. Mathar, Jan 17 2021
Equals 1/(sqrt(5+2*sqrt(5))-sqrt(3)). - Seiichi Manyama, Mar 19 2021
4*this^3 -3*this = -A019845. - R. J. Mathar, Aug 29 2025
One of the 8 real-valued roots of 256*x^8-448*x^6+224*x^4-32*x^2+1=0. - R. J. Mathar, Aug 31 2025

A019821 Decimal expansion of sine of 12 degrees.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

An algebraic number of degree 8 and denominator 2. - Charles R Greathouse IV, Aug 27 2017

			0.20791169...

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Wikipedia, Exact trigonometric constants
Index entries for algebraic numbers, degree 8

Cf. A019815, A019887, A019893.

RealDigits[N[Sin[Pi/15], 110]][[1]] (* Wesley Ivan Hurt, Dec 27 2021 *)

sin(Pi/15) \\ Charles R Greathouse IV, Aug 27 2017

Equals sin(Pi/15) = sqrt(1-A019887^2) = (sqrt(5)-1)*(sqrt(5+2*sqrt(5)) - sqrt(3))/8. - R. J. Mathar, Jun 18 2006
Equals 2*A019815*A019893. - R. J. Mathar, Jan 17 2021
Smallest positive of the 8 real-valued roots of 256*x^8-448*x^6+224*x^4-32*x^2+1 =0. (Other A019893, A019833, A019857)- R. J. Mathar, Aug 31 2025

A019836 Decimal expansion of sine of 27 degrees.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

An algebraic number of degree 8 and denominator 2. - Charles R Greathouse IV, Aug 27 2017

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Wikipedia, Trigonometric constants expressed in real radicals
Index entries for algebraic numbers, degree 8

RealDigits[Sin[27 Degree],10,120][[1]] (* Harvey P. Dale, Nov 09 2014 *)

cos(7*Pi/20) \\ Charles R Greathouse IV, Aug 27 2017

Equals A019827 * A019890 + A019818 * A019881 = A019833 * A019896 + A019812 * A019875. - R. J. Mathar, Jan 27 2021

Equals cos(7*Pi/20). 2*this^2-1 = -A019845. - R. J. Mathar, Aug 29 2025

A019878 Decimal expansion of sine of 69 degrees.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

An algebraic number of degree 16 and denominator 2. - Charles R Greathouse IV, Nov 06 2017

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

RealDigits[Sin[69 Degree],10,120][[1]] (* Harvey P. Dale, Dec 19 2011 *)

sin(23/60*Pi) \\ Charles R Greathouse IV, Nov 06 2017

Equals A019855 * A019876 + A019832 * A019853 = A019875 * A019896 + A019812 * A019833. - R. J. Mathar, Jan 27 2021

A019886 Decimal expansion of sine of 77 degrees.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

Equals sin(77*Pi/180). - Wesley Ivan Hurt, Sep 01 2014

An algebraic number of degree 48 and denominator 2. - Charles R Greathouse IV, Nov 06 2017

			0.974370064785235228539694480088268833005120988944567944597972222...

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Index entries for algebraic numbers, degree 48

Digits:=100: evalf(sin(77*Pi/180)); # Wesley Ivan Hurt, Sep 01 2014

RealDigits[Sin[77 Degree],10,120][[1]] (* Harvey P. Dale, Jan 25 2013 *)

sin(77/180*Pi) \\ Charles R Greathouse IV, Nov 06 2017

Equals A019875 * A019888 + A019820 * A019833 = A019879 * A019892 + A019816 * A019829. - R. J. Mathar, Jan 27 2021

cp's OEIS Frontend

A019857 Decimal expansion of sine of 48 degrees.

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A019821 Decimal expansion of sine of 12 degrees.

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A019836 Decimal expansion of sine of 27 degrees.

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A019878 Decimal expansion of sine of 69 degrees.

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A019886 Decimal expansion of sine of 77 degrees.

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