Āryabhaṭa's sine table

The set of numbers appears in verse 12 in Chapter 1 Dasagitika of Aryabhatiya and is the first table of sines.

These endeavors culminated in the eventual discovery of the power series expansions of the sine and cosine functions by Madhava of Sangamagrama (c. 1350 – c. 1425), the founder of the Kerala school of astronomy and mathematics, and the tabulation of a sine table by Madhava with values accurate to seven or eight decimal places.

[9] David Pingree, one of America's foremost historians of the exact sciences in antiquity, was an exponent of such a view.

So it is very difficult to ascertain the extent to which what has come down to us represents transmitted knowledge, and what is original with Indian scientists.

For the convenience of users unable to read Devanagari, these word-numerals are reproduced in the fourth column in ISO 15919 transliteration.

For assessing the accuracy of Āryabhaṭa's computations, the modern values of jyas are given in the last column of the table.

Āryabhaṭa has chosen the number 3438 as the value of radius of the base circle for the computation of his sine table.

[14] The second section of Āryabhaṭiya, titled Ganitapādd, a contains a stanza indicating a method for the computation of the sine table.