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 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 STATUS approved

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