login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A019812 Decimal expansion of sine of 3 degrees. 4
0, 5, 2, 3, 3, 5, 9, 5, 6, 2, 4, 2, 9, 4, 3, 8, 3, 2, 7, 2, 2, 1, 1, 8, 6, 2, 9, 6, 0, 9, 0, 7, 8, 4, 1, 8, 7, 3, 1, 0, 1, 8, 2, 5, 3, 9, 4, 0, 1, 6, 4, 9, 2, 0, 4, 8, 3, 5, 0, 9, 3, 8, 1, 5, 9, 9, 8, 5, 7, 1, 0, 4, 6, 4, 1, 7, 5, 4, 5, 4, 6, 8, 6, 4, 4, 6, 4, 5, 9, 8, 8, 1, 1, 8, 8, 6, 9, 3, 9, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

An algebraic number of degree 16 and denominator 2. - Charles R Greathouse IV, Nov 02 2012

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) from sine of 3 degrees in his Risala al-Watar wa'l Jaib. - Mohammad K. Azarian,Jan 14 2017

LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..1000

Mohammad K. Azarian, A Study of Risa-la 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.

Dr. Rob, The Math Forum at Drexel, The Exact Value of the Sine of 1 Degree

Scott Surgent, Exact values of the sine and cosine functions in increments of 3 degrees, 2012

Wikipedia, Exact trigonometric constants

FORMULA

Equals cos(87 degrees) = cos(29*Pi/60) = sin(Pi/60) = sqrt(8-sqrt(3)-sqrt(15)-sqrt(10-2*sqrt(5)))/4 (an intermediate calculation by Dr. Rob - see Math Forum link). - Rick L. Shepherd, Jul 03 2006

EXAMPLE

0.052335956242943832722118629609...

PROG

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

CROSSREFS

Cf. A019896 (cosine of 3 degrees), A019901 (tangent of 3 degrees), A019985 (cotangent of 3 degrees).

Sequence in context: A071216 A069483 A011226 * A222222 A071544 A031285

Adjacent sequences:  A019809 A019810 A019811 * A019813 A019814 A019815

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 23 21:46 EST 2017. Contains 295141 sequences.