Triangle and Trigonometric Relationships, Functions, and Identities

Definitions and Diagrams for Relationships in Triangles professionally typeset in LaTeX using TikZ (nothing else will look more professional!)

Page 1 - Relationships in Triangles

• Right Triangles
  • Pythagorean Theorem
  • Primary Trigonometric Ratios
  • Reciprocal Trigonometric Rations
    
• All Triangles
  • Sine Law
  • Cosine Law
  • Sum of Angles
  • Triangle Inequality

Page 2 - Trigonometric Functions

• Extended definitions of sine, cosine, and tangent ratios for ALL angles
• "CAST" rule and reference (related acute) angles
• "Unit Circle" ratio values as part of graph of sine and cosine
• "Special Triangles" for exact ratio values
• Definition of radian angle measure (** all diagrams include radian and degree measures **)
• Modelling and Applications: Relationships between and values for max, min, amplitude, period, etc. and their equation parameter values

Page 3 - Trigonometric Identities

• Quotient and Reciprocal Identities
• Symmetry Identities
• Pythagorean Identities
• Cofunction (i.e. Translation) Identities
• Angle Sum and Double Angle Identities
• Infinite Series Definitions
• Hyperbolic Function Definitions and Identities