Table of Contents

I. Functions

• • Section 1.1 – Functions and Function Notation
  • Section 1.2 – Domain and Range

II. Trigonometric Functions

• • Section 2.1 – Angles
  • Section 2.2 – The Unit Circle: Sine and Cosine Functions
  • Section 2.3 – The Other Trigonometric Functions
  • Section 2.4 – Right Triangle Trigonometry

III. Periodic Functions

• • Section 3.1 – Graphs of Sine and Cosine Functions
  • Section 3.2 – Graphs of Other Trigonometric Functions
  • Section 3.3 – Inverse Functions
  • Section 3.4 – Inverse Trigonometric Functions

IV. Trigonometric Identities and Equations

• • Section 4.1 – Solving Trigonometric Equations with Identities
  • Section 4.2 – Sum and Difference Identities
  • Section 4.3 – Double-Angle, Half-Angle, Reduction Formulas
  • Section 4.4 – Sum-to-Product and Product-to-Sum Formulas
  • Section 4.5 – Solving Trigonometric Equations

V. Further Applications of Trigonometry

• • Section 5.1 – Non-Right Triangles: Law of Sines
  • Section 5.2 – Non-Right Triangles: Law of Cosines
  • Section 5.3 – Polar Coordinates
  • Section 5.4 – Polar Coordinates: Graphs
  • Section 5.5 – The Polar Form of Complex Numbers

VI. Exponential and Logarithmic Functions

• • Section 6.1 – Exponential Functions and Their Graphs
  • Section 6.2 – Logarithmic Functions and Their Graphs
  • Section 6.3 – Logarithmic Properties
  • Section 6.4 – Exponential and Logarithmic Equations