Trigonometry, the study of triangle relationships, has deep roots in ancient Bharat, where Bharatiya mathematicians significantly shaped its development. The Vedic period's Sulba Sūtrās (circa 800 BCE) introduced foundational concepts, including the Baudhāyana theorem, predating Pythagoras. Āryabhata (476 CE) advanced trigonometry by introducing the sine function ("ardha-jyä") and tabulating values at 3.75-degree intervals. Bhāskara I (7th century CE) provided an accurate sine approximation formula, while Varāhamihira (505-587 CE) integrated trigonometry into astronomy with his work, Pañcasiddhāntikā. Bhāskarācārya (1114-1185 CE) furthered mathematical astronomy in Siddhānta Śiromaņi, introducing concepts that hinted at calculus. The transmission of these ideas to the Islamic world and later Europe emphasized Bhāratīya trigonometry's global influence, highlighting the enduring legacy of this civilization in mathematical thought.
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