Mathematics for O/A Level Notes

  INDEX
  0.1 Basic Facts
    0.2 Factoring Formulas
    1.1 Functions
    1.2 Domain and Range of Functions
    1.3 HSRV Transformations
    1.4 Symmetry of Functions; Even and Odd
    1.5 Combinations of Functions
    1.6 Domain of Combined Functions
    1.8 Domain of Composition: From Graphs
    1.9 Inverses
    1.10 One-to-One Functions
    1.11 Inverse Functions
    1.12 Inverse Functions II: Reflections
    1.13 Domain and Range of the Inverse Function
    1.14 Capital Functions
    B. Capital Functions
    Rational Functions
    2.1 The Reciprocal Function
    2.2 Rational Functions and Asymptotes
    2.3 Graphing Rational Functions
    Elementary Trigonometry
    3.1 Circles and Revolutions
    3.2 The Wrapping Function
    3.3 The Wrapping Function At Multiples of
    3.4 The Wrapping Function At Multiples of
    3.6 The Trigonometric Functions: Definitions
    3.7 Domain and Range of the Trigonometric Functions
    3.8 Trigonometric Functions: Periodicity
    3.9 Trigonometric Functions: Even/Odd Behavior
    3.10 Elementary Trigonometric Relationships
    Graphing Trigonometric Functions
    4.1 Graphs of Sine and Cosine
    4.2 Graphing Sinusoids
    4.3 Sinusoidal Phenomena
    4.4 Graphs of Other Trigonometric Functions
    4.5 Graphing General Tangent and Cotangent
    4.6 Graphing General Secant and Cosecant
    4.7 Damped Trigonometric Functions
    4.8 Simple Harmonic Motion and Frequency
    Trigonometric Identities
    5.1 Using Trigonometric Relationships
    5.2 Verifying Trigonometric Identities
    5.3 Sum and Difference Formulas I
    5.4 Sum and Difference Formulas II
    1. Sum and Difference Formulas
    5.5 Double-Angle Formulas
    5.6 Power-Reducing Formulas
    5.7 Half-Angle Relationships and Formulas
    5.8 Verifying More Trigonometric Identities
    5.9 Product to Sum Formulas
    5.10 Sum to Product Formulas
    5.11 Verifying Even More Trigonometric Identities
    Advanced Trigonometric Concepts
    6.1 Capital Trigonometric Functions
    6.2 Capital Trigonometric Problems I
    6.3 Capital Trigonometric Problems II
    6.4 Inverse Trigonometric Functions
    6.5 Inverse Trigonometric Problems
    6.6 Verifying Inverse Trigonometric Identities
    6.7 Inverse Trigonometric Identities
    6.8 Solving Trigonometric Equations I
    6.9 Solving Trigonometric Equations II
    7.7 Area of a Triangle

Trigonometry