A019867 -id:A019867 - cp's OEIS frontend

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

N. J. A. Sloane

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

			0.998629534754573873784492058439436580590952290767785532441441...

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

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

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

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

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

A019873 Decimal expansion of sine of 64 degrees.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

An algebraic number of degree 24 and denominator 2. - Charles R Greathouse IV, Nov 06 2017

			0.898794046...

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Index entries for algebraic numbers, degree 24

RealDigits[Sin[64 Degree],10,120][[1]] (* Harvey P. Dale, May 09 2013 *)

sin(16/45*Pi) \\ Charles R Greathouse IV, Nov 06 2017

Equals 2*A019841*A019867. - R. J. Mathar, Jan 17 2021

A237129 Let d = d(1)d(2)... d(q) denote the decimal expansion of an angle d expressed in degrees. The sequence a(n) lists the angles such that sin(d) = cos(d(1)d(2)... *d(q)).

Original entry on oeis.org

90, 418, 450, 666, 726, 778, 786, 810, 1146, 1170, 1386, 1395, 1530, 1775, 1890, 2218, 2250, 2394, 2474, 2482, 2610, 2842, 2898, 2970, 3186, 3195, 3312, 3330, 3366, 3375, 3690, 3711, 3735, 3915, 3933, 3978, 4050, 4146, 4194, 4274, 4282, 4338, 4410, 4698, 4770

Offset: 1

Michel Lagneau, Feb 04 2014

			666 is in the sequence because sin(666°) = cos(6*6*6°) = -.8090169943749... = -phi/2 where phi is the golden ratio (1+sqrt(5))/2. (A019863)
418 is in the sequence because sin(418°) = cos(4*1*8°)= .84804809615... (A019867)
3915 is in the sequence because sin(3915°) = cos(3*9*1*5°)= -.70710678118654752440 = -1/sqrt(2). (A010503)

Michel Lagneau, Table of n, a(n) for n = 1..2000

with(numtheory):err:=1/10^10:Digits:=20:for n from 1 to 5000 do:x:=convert(n,base,10):n1:=nops(x):p:=product('x[i]', 'i'=1..n1):s1:=evalf(sin(n*Pi/180)):s2:=evalf(cos(p*Pi/180)):if abs(s1-s2)

A019956 Decimal expansion of tangent of 58 degrees.

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane

Also the decimal expansion of cotangent of 32 degrees. - Ivan Panchenko, Sep 01 2014

			1.6003345290410503553267330811833575255040718469227591484115...

Ivan Panchenko, Table of n, a(n) for n = 1..1000

Cf. A019867 (sine of 58 degrees).

SetDefaultRealField(RealField(100)); R:= RealField(); Tan(29*Pi(R)/90); // G. C. Greubel, Nov 22 2018

RealDigits[Tan[29*Pi/90], 10, 100][[1]] (* G. C. Greubel, Nov 22 2018 *)
RealDigits[Tan[58 Degree],10,120][[1]] (* Harvey P. Dale, Jul 21 2021 *)

default(realprecision, 100); tan(29*Pi/90) \\ G. C. Greubel, Nov 22 2018

numerical_approx(tan(29*pi/90), digits=100) # G. C. Greubel, Nov 22 2018

cp's OEIS Frontend

A019896 Decimal expansion of sine of 87 degrees.

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A019873 Decimal expansion of sine of 64 degrees.

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A237129 Let d = d(1)d(2)... d(q) denote the decimal expansion of an angle d expressed in degrees. The sequence a(n) lists the angles such that sin(d) = cos(d(1)*d(2)*... *d(q)).

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Maple

A019956 Decimal expansion of tangent of 58 degrees.

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A237129 Let d = d(1)d(2)... d(q) denote the decimal expansion of an angle d expressed in degrees. The sequence a(n) lists the angles such that sin(d) = cos(d(1)d(2)... *d(q)).