jan 1, 500 - *I: Aryabhata

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India: Aryabhata writes the Aryabhata-Siddhanta, which first introduces the trigonometric functions in a form similar to what we use today, and methods of calculating their approximate numerical values. His manuscript also contains the earliest tables of sine and cosine values (in 3.75-degree intervals from 0 to 90 degrees). Aryabhata gives accurate calculations for astronomical constants, such as the solar eclipse and lunar eclipse, computes π to four decimal places, and obtains whole number solutions to systems of linear equations by a method equivalent to the modern method.

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