O-Level Trigonometry: A Comprehensive Overview Trigonometry is a fundamental branch of mathematics that explores the relationships between the angles and sides of triangles, with a primary focus on right-angled triangles. At the O-Level (including syllabi such as Cambridge IGCSE, Edexcel, and other equivalent courses), trigonometry is introduced as a practical and essential tool for solving geometric problems, analyzing periodic phenomena, and applying mathematical concepts to real-world situations.