सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

110 These formulae imply a knowledge of the expansion of Sin (x ± y) which is given in verses 21, 22 in the form H Sin (x ± y) = (H Sin x H Cos y ± H Cos x H Sin y) / R VII The formula H Cos (x ± y) is got from VII by putting 90 - (x ± y) for x ± y. To construct the remaining sixteen H Sines Bhaskara directs us to use his formula IV wherein taking x = 27°, and y = 15°, we have H₁₂ which gives H₇₈. From H₇₈ we have H₁₄, H₇, and H₁ from H₄. Then H₁₆, H₂₃ and H₂₉ are have H₈, and H₄ which in turn give give H₂₂ and H₂₆. H₂₆ gives H₁₃ which in turn gives H₁₇. H₂₃ similarly gives H₁₁ which in turn gives H₁₉. Thus the table is complete. Verses 16 to