Trigonometry

Course Info

Table of Contents

Chapter P – PREREQUISITES

  • P.1  Review of Real Numbers and Their Properties
  • P.2  Solving Equations
  • P.3  The Cartesian Plane and Graphs of Equations
  • P.4  Linear Equations in Two Variables
  • P.5  Functions
  • P.6  Analyzing Graphs of Functions
  • P.7  A Library of Parent Functions
  • P.8  Transformations of Functions
  • P.9  Combinations of Functions: Composite Functions
  • P.10  Inverse Functions

Chapter 1 – TRIGONOMETRY

  • 1.1  Radian and Degree Measure
  • 1.2  Trigonometric Functions: The Unit Circle
  • 1.3  Right Triangle Trigonometry
  • 1.4  Trigonometric Functions of Any Angle
  • 1.5  Graphs of Sine and Cosine Functions
  • 1.6  Graphs of Other Trigonometric Functions
  • 1.7  Inverse Trigonometric Functions
  • 1.8  Applications and Models

Chapter 2 – ANALYTIC TRIGONOMETRY

  • 2.1  Using Fundamental Identities
  • 2.2  Verifying Trigonometric Identities
  • 2.3  Solving Trigonometric Equations
  • 2.4  Sum and Difference Formulas
  • 2.5  Multiple-Angle and Product-to-Sum Formulas

Chapter 3 – ADDITIONAL TOPICS IN TRIGONOMETRY

  • 3.1 Law of Sines
  • 3.2 Law of Cosines
  • 3.3 Vectors in the Plane
  • 3.4 Vectors and Dot Products

Chapter 4 – COMPLEX NUMBERS

  • 4.1 Complex Numbers
  • 4.2 Complex Solutions of Equations
  • 4.3 Trigonometric Form of a Complex Number
  • 4.4 DeMoivre’s Theorem

Chapter 5 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS

  • 5.1 Exponential Functions and Their Graphs
  • 5.2 Logarithmic Functions and Their Graphs
  • 5.3 Properties of Logarithms
  • 5.4 Exponential and Logarithmic Equations
  • 5.5 Exponential and Logarithmic Models

Chapter 6 – TOPICS IN ANALYTIC GEOMETRY

  • 6.1 Lines
  • 6.2 Introduction to Conics: Parabolas
  • 6.3 Ellipses
  • 6.4 Hyperbolas
  • 6.5 Rotation of Conics
  • 6.6 Parametric Equations
  • 6.7 Polar Coordinates
  • 6.8 Graphs of Polar Equations
  • 6.9 Polar Equations of Conics

 

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