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Aryabhatiya II.10 gives 24 first-differences of sines at 3°45' intervals (R = 3,438 minutes). Cumulative sum reconstructs sin(θ) for θ = 3°45'…90°, accurate to ~0.03%. The English word "sine" descends Sanskrit jya → Arabic jaib (translation error: pocket/ bay) → Latin sinus → English "sine." Hipparchus had a chord table 600 years earlier; Aryabhata's is the first half-chord (= modern sine) table in any tradition.

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