The table of sines by the Indian mathematician, Aryabhata, were translated into the Chinese mathematical book of the Kaiyuan Zhanjing, compiled in 718 AD during the Tang Dynasty.
One of his interesting findings was that the duration of the lunar eclipse of 30 August 1765 was predicted by a Tamil astronomer, based on the computation of the size and extent of the earth-shadow (going back to Aryabhata, 5th century), and was found short by 41 seconds, whereas the charts of Tobias Mayer were long by 68 seconds.
In ancient (499 CE) India, Aryabhata created one of the first sine tables, which he encoded in a Sanskrit-letter-based number system.
The birth of Aryabhata is traditionally regarded as the beginning of the classical period of Indian mathematics and astronomy.