• R.1 Basic Concepts from Algebra
• R.2 Real Number Operations and Properties
• R.3 Exponents, Polynomials, and Factoring
• R.4 Rational Expressions
• R.5 Radical Expressions
• R.6 Equations and Inequalities
• R.7 Rectangular Coordinates and Graphs
• R.8 Functions
• R.9 Graphing Techniques

• 1-1 Angles
• 1-2 Angle Relationships and Similar Triangles
• 1-3 Trigonometric Functions
• 1-4 Using the Definitions of the Trigonometric Functions

• Test Prep
• Review Exercises
• Test

• 2-1 Trigonometric Functions of Acute Angles
• 2-2 Trigonometric Functions of Non-Acute Angles
• 2-3 Approximations of Trigonometric Function Values
• 2-4 Solutions and Applications of Right Triangles
• 2-5 Further Applications of Right Triangles

• Test Prep
• Review Exercises
• Test

• 3-1 Radian Measure
• 3-2 Applications of Radian Measure
• 3-3 The Unit Circle and Circular Functions
• 3-4 Linear and Angular Speed

• Test Prep
• Review Exercises
• Test

• 4-1 Graphs of the Sine and Cosine Functions
• 4-2 Translations of the Graphs of Sine and Cosine Functions
• 4-3 Graphs of the Tangent and Cotangent Functions
• 4-4 Graphs of the Secant and Cosecant Functions
• 4-5 Harmonic Motion

• Test Prep
• Review Exercises
• Test

• 5-1 Fundamental Identities
• 5-2 Verifying Trigonometric Identities
• 5-3 Sum and Difference Identities for Cosine
• 5-4 Sum and Difference Identities for Sine and Tangent
• 5-5 Double-Angle Identities
• 5-6 Half-Angle Identities

• Test Prep
• Review Exercises
• Test

• 6-1 Inverse Circular Functions
• 6-2 Trigonometric Equations I
• 6-3 Trigonometric Equations II
• 6-4 Equations Involving Inverse Trigonometric Functions

• Test Prep
• Review Exercises
• Test

• 7-1 Oblique Triangles and the Law of Sines
• 7-2 The Ambiguous Case of the Law of Sines
• 7-3 The Law of Cosines
• 7-4 Geometrically Defined Vectors and Applications
• 7-5 Algebraically Defined Vectors and the Dot Product

• Test Prep
• Review Exercises
• Test

• 8-1 Complex Numbers
• 8-2 Trigonometric (Polar) Form of Complex Numbers
• 8-3 The Product and Quotient Theorems
• 8-4 De Moivre's Theorem
• 8-5 Polar Equations and Graphs
• 8-6 Parametric Equations, Graphs, and Applications

• Test Prep
• Review Exercises
• Test

Answers to Selected Exercises

Photo Credits

Index