1. 正弦（sine）公式：
– sin(x) = 对边 / 斜边
– sin(x + π/2) = cos(x)
– sin(x – π/2) = -cos(x)
– sin(x + 2πk) = (-1)^k sin(x)
– sin(x – 2πk) = (-1)^k sin(x)
– sin(x + 3πk) = (-1)^k sin(x)
– sin(x – 3πk) = (-1)^k sin(x)
2. 余弦（cosine）公式：
– cos(x) = 邻边 / 斜边
– cos(x + π/2) = sin(x)
– cos(x – π/2) = -sin(x)
– cos(x + 2πk) = (-1)^k cos(x)
– cos(x – 2πk) = (-1)^k cos(x)
– cos(x + 3πk) = (-1)^k cos(x)
– cos(x – 3πk) = (-1)^k cos(x)
3. 正切（tangent）公式：
– tan(x) = 对边 / 邻边
– tan(x + π/2) = 1 / cos(x)
– tan(x – π/2) = 1 / cos(x)
– tan(x + 2πk) = (-1)^k tan(x)
– tan(x – 2πk) = (-1)^k tan(x)
– tan(x + 3πk) = (-1)^k tan(x)
– tan(x – 3πk) = (-1)^k tan(x)
4. 余切（cotangent）公式：
– cot(x) = cos(x) / sin(x)
– cot(x + π/2) = sin(x) / cos(x)
– cot(x – π/2) = -sin(x) / cos(x)
– cot(x + 2πk) = (-1)^k cot(x)
– cot(x – 2πk) = (-1)^k cot(x)
– cot(x + 3πk) = (-1)^k cot(x)
– cot(x – 3πk) = (-1)^k cot(x)
5. 正割（secant）公式：
– sec(x) = 1 / sin(x)
– sec(x + π/2) = cos(x) / sin(x)
– sec(x – π/2) = -cos(x) / sin(x)
– sec(x + 2πk) = (-1)^k sec(x)
– sec(x – 2πk) = (-1)^k sec(x)
– sec(x + 3πk) = (-1)^k sec(x)
– sec(x – 3πk) = (-1)^k sec(x)
6. 余割（csc）公式：
– csc(x) = 1 / sec(x)
– csc(x + π/2) = cos(x) / sin(x)
– csc(x – π/2) = -cos(x) / sin(x)
– csc(x + 2πk) = (-1)^k csc(x)
– csc(x – 2πk) = (-1)^k csc(x)
– csc(x + 3πk) = (-1)^k csc(x)
– csc(x – 3πk) = (-1)^k csc(x)
7. 正割（secant）公式：
– sec(x) = 1 / cos(x)
– sec(x + π/2) = cos(x) / sin(x)
– sec(x – π/2) = -cos(x) / sin(x)
– sec(x + 2πk) = (-1)^k sec(x)
– sec(x – 2πk) = (-1)^k sec(x)
– sec(x + 3πk) = (-1)^k sec(x)
– sec(x – 3πk) = (-1)^k sec(x)
8. 余割（csc）公式：
– csc(x) = 1 / sec(x)
– csc(x + π/2) = cos(x) / sin(x)
– csc(x – π/2) = -cos(x) / sin(x)
– csc(x + 2πk) = (-1)^k csc(x)
– csc(x – 2πk) = (-1)^k csc(x)
– csc(x + 3πk) = (-1)^k csc(x)
– csc(x – 3πk) = (-1)^k csc(x)
9. 正割（secant）公式：
– sec(x) = 1 / cos(x)
– sec(x + π/2) = cos(x) / sin(x)
– sec(x – π/2) = -cos(x) / sin(x)
– sec(x + 2πk) = (-1)^k sec(x)
– sec(x – 2πk) = (-1)^k sec(x)
– sec(x + 3πk) = (-1)^k sec(x)
– sec(x – 3πk) = (-1)^k sec(x)
10. 余割（csc）公式：
– csc(x) = 1 / sec(x)
– csc(x + π/2) = cos(x) / sin(x)
– csc(x – π/2) = -cos(x) / sin(x)
– csc(x + 2πk) = (-1)^k csc(x)
– csc(x – 2πk) = (-1)^k csc(x)
– csc(x + 3πk) = (-1)^k csc(x)
– csc(x – 3πk) = (-1)^k csc(x)
为了轻松掌握这些公式，你可以采取以下方法：
1. 理解每个公式的几何意义：了解每个公式背后的几何意义可以帮助你更好地记忆和应用它们。例如，正弦和余弦公式可以类比为直角三角形中的两条边和斜边的关系。
2. 多做练习题：通过大量的练习题来巩固你的知识和提高解题技巧。可以从简单的题目开始，逐渐增加难度。
4. 利用图形辅助理解：在纸上画出三角函数的图像，可以帮助你直观地理解每个公式的含义和应用场景。
5. 使用记忆技巧：可以尝试使用联想记忆法，如将公式与日常生活中的事物相联系，或者用谐音记忆法帮助记忆。
6. 定期复习：定期复习所学的内容，避免遗忘。可以通过做笔记、制作卡片或者使用在线资源来帮助复习。
7. 寻求帮助：如果在学习过程中遇到困难，不要犹豫去请教老师、同学或者查找在线资源。
通过上述方法的持续实践和应用，你将能够轻松掌握三角函数的基本公式，并在考试中取得好成绩。