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  Table of Content    
 
Trigonometry
 
Basic Concepts
  • Angles
    • Congruent Angles
    • Straight Angle
    • Right Angle
    • Acute Angle
    • Obtuse Angle
    • Reflex Angle
    • Angle of Depression
    • Angle of Elevation
    • Angle Addition Postulate
    • Protractor
    • Radians
  • Coordinate System and 4 Quadrants

 
Triangles
  • Types by Sides
    • Equilateral Triangles
    • Isosceles Triangles
    • Scalene Triangles
  • Types by Angles
    • Right Triangles
    • Obtuse Triangles
    • Acute Triangles
    • Equiangular Triangles

 
Trigonometric Functions
  • Congruence
    • Application of Congruence in Indirect Measurement
  • Similarity
    • Similar Triangles
    • Application of Similar Triangles in Indirect Measurement
  • Functions of Acute Angles
    • Sine (abbr. sin)
    • Cosine (abbr. cos)
    • Tangent (abbr. tan)
    • Cotangent (abbrev. cotan or cot)
    • Cosecant (abbrev. cosec or csc)
    • Secant (abbrev. sec)
  • Functions of General Angles
    • Reducing Functions of a General Angle to Functions of an Acute Angle
    • Functions of Negative Angles
  • Tables of Trigonometric Functions

 
Trigonometry of Triangles
  • Solve a Right Triangle
  • Law of Cosines
  • Law of Sines
  • Solve General Triangles
  • Checking Solutions: Mollweide Formulas
  • Areas of Triangles: Heron's Formula

 
Graphs of Trigonometric Functions
  • Circular Functions
  • Periodic Functions
  • Graph of Sine
  • Graph of Cosine
  • Graph of Tangent
  • Graph of Cotangent
  • Graph of Secant
  • Graph of Cosecant

 
Trigonometric Identities
  • Fundamental Identities
  • Addition Identities
  • Double-Angle and Half-Angle Identities
  • Tangent Identities
  • Product-Sum and Sum-Product Identities
  • Trigonometric Reduction Formulas

 
Vectors
  • Geometric Method for Vector Addition
  • Geometric Method for Vector Subtraction
  • Component Method for Vector Addition
  • Component Method for Vector Subtraction

 
Polar Coordinates and Complex Numbers
  • Polar Coordinates
  • Geometry of Complex Numbers
  • De Moivre's Theorem

 
Inverse Functions
  • Inverse Sine and Other Inverse Trigonometric Functions
  • Graphs of the Inverse Trigonometric Functions
  • Trigonometric Equations

Additional Topics


 
Additional Topics
  • The Expression (A sin x + B cos x)
  • Uniform Circular Motion
  • Simple Harmonic Motion

 
Spherical Trigonometry