常用的三角函数公式如下:

  1. 正弦函数(Sine Function): sin(x + y) = sin(x)cos(y) + cos(x)sin(y) sin(x - y) = sin(x)cos(y) - cos(x)sin(y) sin(2x) = 2sin(x)cos(x) sin^2(x) + cos^2(x) = 1

  2. 余弦函数(Cosine Function): cos(x + y) = cos(x)cos(y) - sin(x)sin(y) cos(x - y) = cos(x)cos(y) + sin(x)sin(y) cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1 = 1 - 2sin^2(x)

  3. 正切函数(Tangent Function): tan(x + y) = (tan(x) + tan(y))/(1 - tan(x)tan(y)) tan(x - y) = (tan(x) - tan(y))/(1 + tan(x)tan(y)) tan(2x) = 2tan(x)/(1 - tan^2(x))

  4. 余切函数(Cotangent Function): cot(x) = 1/tan(x)

  5. 正割函数(Secant Function): sec(x) = 1/cos(x)

  6. 余割函数(Cosecant Function): csc(x) = 1/sin(x)

这些公式是在三角函数之间进行转换和计算时常用的关系式,可以帮助简化计算过程。

三角函数公式大全:正弦、余弦、正切、余切、正割、余割

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