VEDIC MATHS
Name-Manav Nimish Kothari PRN-23UF18402AC019 Trigonometry: The Jya and Cojya in Indian Mathematics — A Journey into Ancient Genius Introduction — Where Angles Meet Eternity Long before trigonometry became the heart of modern mathematics, ancient Indian scholars had already unlocked its mysteries. They introduced concepts called Jya (Sine) and Cojya (Cosine) — terms rooted in Sanskrit and astronomy. These ideas bridged geometry, observation, and philosophy, revealing how India’s early mathematicians connected the cosmos with computation. The Birth of Jya and Cojya In modern trigonometry, the sine of an angle represents the ratio of the opposite side to the hypotenuse. But in ancient India, mathematicians didn’t deal with triangles — they studied circles. Jya (or Ardha-jya) meant half the chord of an arc — the earliest form of sine. Cojya (Kojya or Kotijya) represented the complementary arc, the ancestor of the modern cosine. The g...