{
  "id": "jyotpatti",
  "domain": "indian-mathematics",
  "type": "Concept",
  "title": "Jyotpatti",
  "slug": "jyotpatti",
  "url": "/mathematics/indian-mathematics/jyotpatti/",
  "summary": "Indian mathematical tradition of trigonometry. Āryabhaṭa 499 CE sine table (jya = half-chord). Etymology of 'sine' from Sanskrit jya via Arabic jiba via Latin sinus. Mādhava c.1400 CE infinite series for sine/cosine preceded European discovery by 200 years.",
  "added_to_codex": "2026-07-09",
  "last_verified": "2026-07-09",
  "sources": [
    {
      "tier": 1,
      "citation": "Āryabhaṭa (499 CE). Āryabhaṭīya. Trans. Shukla and Sarma 1976. INSA."
    },
    {
      "tier": 1,
      "citation": "Plofker, K. (2009). Mathematics in India. Princeton University Press."
    },
    {
      "tier": 2,
      "citation": "Roy, R. (2021). Series and Products in the Development of Mathematics. 2nd ed."
    },
    {
      "tier": 3,
      "citation": "Joseph, G.G. (2011). The Crest of the Peacock. 3rd ed. Princeton University Press."
    }
  ],
  "entry_status": "live",
  "reading_levels_available": [
    "curious",
    "exploring",
    "deep_dive"
  ],
  "completeness": 1.0,
  "codex_version": "2.5"
}