📚 Exercise 6C: Trigonometric Equations | 练习 6C：三角方程
In AQA A-Level Mathematics, Exercise 6C is often used to consolidate skills in solving trigonometric equations within a specified interval. This topic brings together angle measurement, exact values, graphs, and algebraic manipulation, making it a core area for both AS and A-Level exams.
在 AQA A-Level 数学中，练习 6C 通常用于巩固在指定区间内求解三角方程的技能。该主题综合了角度度量、精确值、图像和代数运算，是 AS 与 A-Level 考试的核心内容。
Whether you are working in degrees or radians, the key is to use a systematic method: simplify the equation, find the principal value, and then generate all additional solutions using periodicity or symmetry.
无论使用角度制还是弧度制，关键在于使用系统方法：化简方程，求出主值，然后利用周期性或对称性生成所有其他解。
This article explains the main techniques needed for Exercise 6C and provides a worked example in the style of AQA exam questions.
本文将解释练习 6C 所需的主要技巧，并提供一道 AQA 考试风格的解析示例。
1. Understanding the AQA Exercise 6C Focus | 理解 AQA 练习 6C 的重点
s you to find all solutions of equations such as sin x = 0.5, 2 cos x + 1 = 0, or tan 2x = √3 within intervals like 0° ≤ x ≤ 360° or 0 ≤ x ≤ 2π.
练习 6C 通常要求求出诸如 sin x = 0.5、2 cos x +
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