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Exploring Functions in Advanced Mathematics
  • Basic Concepts of Functions
  • Properties of Functions
    • 函数的有界性
    • 函数的单调性
    • Periodicity of Functions
    • Parity of Functions
    • Function Extrema
    • Determination of Extrema
    • Function Convexity and Concavity
    • Function Inflection Points
  • Special Function Forms
    • Composite Functions
    • Inverse Functions
    • Piecewise Functions
    • Implicit Functions
    • Parametric Functions
  • Elementary Functions at a Glance
    • Definition and Classification of Elementary Functions
    • Power Functions
    • Exponential Functions
    • Logarithmic Functions
    • 三角函数
      • 三角函数的起源与发现
      • Angles and Radians
      • Sine Function
      • Cosine Function
      • Tangent Function
      • Cotangent Function
      • Secant Function
      • Cosecant Function
      • Power Trigonometric Functions
      • Power Reduction Formulas
    • 反三角函数
      • Arcsine Function
      • Arccosine Function
      • Arctangent Function
      • Arccotangent Function
      • Arcsecant Function
      • Inverse Cosecant Function
  • The Mathematical Adventure of Natural Constant e
  • Pi ($\pi$)
  • The Golden Ratio
  • Rational Functions
  • Irrational (Radical) Functions
  • Function Exercises
This is a beta course, so its structure, chapters, and examples may continue to change.

三角函数的起源与发现

This article is being translated. Please check back soon.

Previous三角函数详细讲解三角函数的定义、性质、图像及典型习题。
NextAngles and RadiansDetailed explanation of the definitions of angles and radians, conversion relationships, and their applications in trigonometric functions
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Exploring Functions in Advanced Mathematics
  • Basic Concepts of Functions
  • Properties of Functions
    • 函数的有界性
    • 函数的单调性
    • Periodicity of Functions
    • Parity of Functions
    • Function Extrema
    • Determination of Extrema
    • Function Convexity and Concavity
    • Function Inflection Points
  • Special Function Forms
    • Composite Functions
    • Inverse Functions
    • Piecewise Functions
    • Implicit Functions
    • Parametric Functions
  • Elementary Functions at a Glance
    • Definition and Classification of Elementary Functions
    • Power Functions
    • Exponential Functions
    • Logarithmic Functions
    • 三角函数
      • 三角函数的起源与发现
      • Angles and Radians
      • Sine Function
      • Cosine Function
      • Tangent Function
      • Cotangent Function
      • Secant Function
      • Cosecant Function
      • Power Trigonometric Functions
      • Power Reduction Formulas
    • 反三角函数
      • Arcsine Function
      • Arccosine Function
      • Arctangent Function
      • Arccotangent Function
      • Arcsecant Function
      • Inverse Cosecant Function
  • The Mathematical Adventure of Natural Constant e
  • Pi ($\pi$)
  • The Golden Ratio
  • Rational Functions
  • Irrational (Radical) Functions
  • Function Exercises