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A280190 Base-60 (Babylonian or sexagesimal) expansion of sine of 3 degrees. 0

%I #13 Jan 04 2024 03:25:59

%S 3,8,24,33,59,34,28,14,50,5,28,29,38,47,51,57,24,25,56,50,24,30,4,12,

%T 1,50,22,37,14,19,57,37,6,18,54,32,55,20,41,45,16,27,55,52,52,7,9,20,

%U 25,8,58,18,22,58,32,34,3,2,15,27,36,33,23,19,12,48,0,33,42,3,6,1,37,1,19,21,55,46,56

%N Base-60 (Babylonian or sexagesimal) expansion of sine of 3 degrees.

%C 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.

%H Mohammad K. Azarian, <a href="http://forumgeom.fau.edu/FG2015volume15/FG201523.pdf">A Study of Risa-la al-Watar wa'l Jaib ("The Treatise on the Chord and Sine")</a>, Forum Geometricorum, Volume 15 (2015) 229-242. Mathematical Reviews, MR 3418854 (Reviewed), Zentralblatt MATH, Zbl 1328.01015.

%t RealDigits[Sin[3 Degrees], 60, 200][[1]]

%Y Cf. A019810, A019812, A049469, A110937, A280188, A280189.

%K nonn,base,cons

%O 1,1

%A _Mohammad K. Azarian_, Jan 14 2017

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