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📐 Trigonometry

Trigonometry — SOH CAH TOA

Study of triangles and angles; sin, cos, tan ratios; essential for physics, engineering and navigation

Greece/India 🌍 150 BC Trigonometry

Key Facts

  1. 1

    SOH CAH TOA: sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent

  2. 2

    Key identities: sin²θ+cos²θ=1; sin2θ=2sinθcosθ; values at 0°, 30°, 45°, 60°, 90° are standard

  3. 3

    Applications: architecture (slopes), navigation (angles), physics (waves), astronomy (distances to stars)

🔢 Did you know? Aryabhata's sine table (499 AD) was the most accurate for 1,000 years — Indian mathematics gave trigonometry its modern form via Islamic scholars to Europe

Quick Reference

Category

Trigonometry

Country

🌍 Greece/India

Year / Era

150 BC

About

Study of triangles and angles