5 . 反三角函数定义 5. The definition of inverse trigonometric functions
[反三角函数的定义域与主值范围] [Domain and inverse trigonometric functions of the main range of values]
函数 Function | 主值记号 Main value mark | 定义域 Domain | 主值范围 Main value range |
反正弦 Arcsine | 若 If the | | |
反余弦 Inverse cosine | 若 If the | | |
反正切 Arctangent | 若 If the | | |
反余切 Anti cotangent | 若 If the | | |
反正割 Anyway, to cut | 若 If the | | |
反余割 Cosecant | 若 If the | | |
一般反三角函数与主值的关系为 General relationship with the principal value of the inverse trigonometric functions
式中n为任意整数. Wherein n is an arbitrary integer.
[反三角函数的图形与特征] [Graphics and features inverse trigonometric]
反正弦曲线 Arc sine curve 反余弦曲线 Inverse cosine curve
拐点（同曲线对称中心）： Inflection (with the curve center of symmetry): 拐点（同曲线对称中心）： Inflection (with the curve center of symmetry):
，该点切线斜率为 1 The slope of a tangent point
，该点切线斜率为－ 1 The slope of the tangent point - 1
反正切曲线 Arc tangent curve 反余切曲线 Anti cotangent curve
拐点（同曲线对称中心）： Inflection (with the curve center of symmetry): 拐点： Inflection point:
，该点切线斜率为 1 The slope of a tangent point
，该点切线斜率为－ 1 The slope of the tangent point - 1
渐进线： Asymptote: 
曲线对称中心： Curves center of symmetry: 
渐近线： Asymptote: 
反正割曲线 Anyway, to cut the curve 反余割曲线 Cosecant curve
顶点： Vertex: 
顶点： Vertex: 
渐近线： Asymptote: 
渐近线： Asymptote: 