Mathematics in Ancient and Medieval India c8.s3.61

c8.s3.61

These values when substituted in eqn (1) containing terms from t₁ to t₅, *jīvā* comes out to be 3437' 44″ 48″', the 24th sine value given in the table of Mādhava (here s = 5400'). Similarly if s is replaced gradually by 225ʹ, 450ʹ, 675ʹ… Mādhava’s sine table is obtained. Proceeding in a similar way and substituting values in eqn(2), the cosine table is obtained. This evidently shows that Mādhava, followed by the authors of *Tantra-saṃgraha* and *Karaṇapaddhati*, used the eqns (1) and (2) for the computation of the sine and cosine tables.