Topic:Trigonometry for Olympiads

Welcome to the Topic of Triangles Part of the School of Olympiads

"There is perhaps nothing which so occupies the middle position of mathematics as trigonometry."-J. F. Herbart

All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O.

This department of Olympiad Mathematics course is devoted to Trigonometry.

The first section of Trilaterometry, or the study of 'three lengths', is about theorems on Triangles in Plane Geometry. Its covers the Euclidean study of Triangles, especially theorems like Ceva's Theorem, Menelaus' Theorem or the Triangle Inequality.

The second section embraces the use of Trigonometric ratios and its applications to Heights and Distances and Solutions to Triangles.

The third section focuses on analytical aspect of Trigonometry and discusses identities and equations, and their proves. It also extensively uses De Moivre's Law of Complex Numbers.

Chapters

• Triangle Geometry
• Solution of Triangles
• Trigonometric Analysis

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