📚 IB & Edexcel Mathematics: Trigonometry Key Points | IB & Edexcel 数学：三角函数考点精讲
Trigonometry forms a cornerstone of both IB and Edexcel Mathematics syllabi. It bridges geometric intuition with algebraic manipulation, covering angle measurement, circular functions, identities, equation-solving, and real-world applications. A strong command of trigonometric principles is essential for success in examinations and further study in calculus and physics.
三角函数是 IB 与 Edexcel 数学大纲的核心基石，它将几何直观与代数操作联系起来，涵盖角度测量、圆函数、恒等变换、方程求解及实际应用。牢固掌握三角学原理对考试成功及后续微积分、物理学习至关重要。
1. Radian Measure & Arc Length | 弧度制与弧长
Radian measure is the standard unit of angular measurement in advanced mathematics. One radian is defined as the angle subtended at the centre of a circle by an arc equal in length to the radius.
弧度制是高等数学中角度的标准计量单位。一弧度是指当圆弧长度等于半径时，该弧所对的圆心角的大小。
The essential conversion is:
基本换算关系为：
π rad = 180°
Thus, 1 rad ≈ 57.3°, and 1° = π/180 rad. All advanced work, especially calculus with trigonometric functions, assumes angles are in radians unless specified otherwise.
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