A019810 -id:A019810 - cp's OEIS frontend

A111664 Decimal expansion of the cube root of cosine of 1 degree.

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

Offset: 0

Mohammad K. Azarian, Nov 17 2005

An algebraic number of degree 144. - Charles R Greathouse IV, Apr 14 2014

Index entries for algebraic numbers, degree 144

Cf. A019810, A111460, A111474.

RealDigits[N[Cos[Pi/180]^(1/3),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 04 2012 *)
RealDigits[Surd[Cos[1 Degree],3],10,120][[1]] (* Harvey P. Dale, Mar 18 2018 *)

cos(Pi/180)^(1/3) \\ Charles R Greathouse IV, Apr 14 2014

A111460 Decimal expansion of the square root of sine of 1 degree.

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Nov 15 2005

An algebraic number of degree 96. - Charles R Greathouse IV, Apr 14 2014

			0.13210755632167114164138...

Index entries for algebraic numbers, degree 96

Cf. A019810, A111474, A111664.

evalf(sqrt(sin(Pi/180))) ; # R. J. Mathar, Oct 03 2011

RealDigits[N[Sqrt[Sin[Pi/180]],200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 04 2012 *)

sqrt(sin(Pi/180)) \\ Charles R Greathouse IV, Apr 14 2014

Offset changed by Mohammad K. Azarian, Dec 11 2008

A280188 Base-60 (Babylonian or sexagesimal) expansion of sine of 1 degree.

Original entry on oeis.org

1, 2, 49, 43, 11, 14, 44, 16, 26, 18, 28, 49, 20, 26, 50, 41, 13, 6, 46, 25, 26, 26, 34, 6, 40, 18, 50, 31, 6, 35, 20, 44, 6, 39, 18, 5, 38, 58, 2, 0, 5, 4, 33, 59, 11, 35, 33, 50, 34, 7, 56, 43, 38, 30, 15, 49, 36, 42, 6, 43, 10, 38, 45, 53, 15, 59, 7, 19, 46

Offset: 1

Mohammad K. Azarian, Dec 28 2016

The Fifteenth Century Persian mathematician Jamshid Al-Kashi was the first to calculate the value of sine of one degree correct to ten sexagesimal places (17 decimal digits) in his Risala al-Watar wa'l Jaib.

Mohammad K. Azarian, A Study of Risala al-Watar wa'l Jaib ("The Treatise on the Chord and Sine"), Forum Geometricorum, Volume 15 (2015) 229-242. Mathematical Reviews, MR 3418854 (Reviewed), Zentralblatt MATH, Zbl 1328.01015.

Cf. A019810, A019812, A049469, A110937, A280189.

Mathematica
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RealDigits[Sin[1 Degree], 60, 200][[1]]
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More terms from Jon E. Schoenfield, Jan 13 2017

A111493 Decimal expansion of the square of tan 1 degree.

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Nov 21 2005

An algebraic integer with degree 24. - Charles R Greathouse IV, Aug 27 2017

			0.000304679291648291592499514192263702726536635855843973780688562133....

Index entries for algebraic numbers, degree 24

Cf. A019810, A019898.

tan(Pi/180)^2 \\ Charles R Greathouse IV, Aug 27 2017

Equals A111486/A111590. - R. J. Mathar, Aug 29 2025

A111511 Decimal expansion of -log(sine of 1 degree).

Original entry on oeis.org

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

Offset: 1

Mohammad K. Azarian, Nov 16 2005

			-4.048277735126294470985316561665553918003508751236293909772286419...

Index entries for transcendental numbers

Cf. A019810.

RealDigits[ Log[ Sin[Pi/180]], 10, 111][[1]] (* Robert G. Wilson v, Nov 18 2005 *)

-log(sin(Pi/180)) \\ Charles R Greathouse IV, Aug 27 2017

A111613 Decimal expansion of (cosine of 1 degree)^4.

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Nov 17 2005

An algebraic number of degree 24 and denominator 16. - Charles R Greathouse IV, Aug 27 2017

Index entries for algebraic numbers, degree 24

Cf. A019810.

RealDigits[Cos[1 Degree]^4,10,120][[1]] (* Harvey P. Dale, Apr 06 2019 *)

cos(Pi/180)^4 \\ Charles R Greathouse IV, Aug 27 2017

A280189 Version of sexagesimal expansion of sine of one degree given by the Persian mathematician Al-Kashi in the 15th Century.

Original entry on oeis.org

1, 2, 49, 43, 11, 14, 44, 16, 26, 17

Offset: 1

Mohammad K. Azarian, Dec 28 2016

The fifteenth century Persian mathematician Jamshid Al-Kashi was the first to calculate the value of sine of one degree correct to ten sexagesimal places (17 decimal digits) in his Risala al-Watar wa'l Jaib.

Mohammad K. Azarian, A Study of Risala al-Watar wa'l Jaib ("The Treatise on the Chord and Sine"), Forum Geometricorum, Volume 15 (2015) 229-242. Mathematical Reviews, MR 3418854 (Reviewed), Zentralblatt MATH, Zbl 1328.01015.

Cf. A019810, A019812, A049469, A110937, A280188.

A111486 Decimal expansion of the square of sine of 1 degree.

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Nov 15 2005

			0.00030458649045213499...

Cf. A019810.

evalf(sin(Pi/180)^2) ; # R. J. Mathar, Oct 03 2011

Join[{0,0,0},RealDigits[Sin[Pi/180]^2,10,100][[1]]] (* Stefano Spezia, Jun 27 2025 *)

Offset changed by Mohammad K. Azarian, Dec 11 2008

A111508 Decimal expansion of e^(sine of 1 degree).

Original entry on oeis.org

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

Offset: 1

Mohammad K. Azarian, Nov 16 2005

			1.01760558952278471...

Cf. A019810.

evalf(exp(sin(Pi/180))) ; # R. J. Mathar, Oct 03 2011

RealDigits[E^Sin[1 Degree],10,120][[1]] (* Harvey P. Dale, Apr 01 2024 *)

A111590 Decimal expansion of the square of cosine of 1 degree.

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Nov 17 2005

Cf. A019810.

RealDigits[Cos[1 Degree]^2,10,120][[1]] (* Harvey P. Dale, Dec 29 2019 *)

cp's OEIS Frontend

A111664 Decimal expansion of the cube root of cosine of 1 degree.

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A111460 Decimal expansion of the square root of sine of 1 degree.

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A280188 Base-60 (Babylonian or sexagesimal) expansion of sine of 1 degree.

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A111493 Decimal expansion of the square of tan 1 degree.

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A111511 Decimal expansion of -log(sine of 1 degree).

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A111613 Decimal expansion of (cosine of 1 degree)^4.

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A280189 Version of sexagesimal expansion of sine of one degree given by the Persian mathematician Al-Kashi in the 15th Century.

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A111486 Decimal expansion of the square of sine of 1 degree.

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Maple