Mathematics in Ancient and Medieval India c8.215

c8.215

It must be noted that the formula (3) readily follows from (2) if we substitute the angle A/2 by A. Reverse result follows if we substitute A for 2 A. It is Varāhamihira¹ who first gave the values of *Jyā* 30°, *Jyā* 45°, *Jyā* 60°, *Jyā* 90° and formulae (1) and (3). So it will not be far from truth to state that Varāhamihira ( 505 A. D. ) and possibly other scholars of his time prepared their sine table using these formulae and the values of the *Jyās* mentioned above.