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This work develops the trigonometric functions using a unit circle approach and shows how it leads to the right triangle approach. Graphing techniques are emphasized, including a discussion of polar co-ordinates, parametric equations, and conics using polar co-ordinates.

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• Chapter 1 Graphs and Functions
• 1.1 The Distance and Midpoint Formulas
• 1.2 Graphs of Equations; Circles
• 1.3 Functions and Their Graph
• 1.4 Properties of Functions
• 1.5 Library of Functions; Piecewise-defined Functions
• 1.6 Graphing Techniques: Transformations
• 1.7 One-to-One Functions; Inverse Functions Chapter Review Chapter Test Cumulative Review Chapter Projects
• Chapter 2 Trigonometric Functions
• 2.1 Angles and Their Measure
• 2.2 Trigonometric Functions: Unit Circle Approach
• 2.3 Properties of the Trigonometric Functions
• 2.4 Graphs of the Sine and Cosine Functions
• 2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
• 2.6 Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Cumulative Review Chapter Projects
• Chapter 3 Analytic Trigonometry
• 3.1 The Inverse Sine, Cosine, and Tangent Functions
• 3.2 The Inverse Trigonometric Functions (continued)
• 3.3 Trigonometric Identities
• 3.4 Sum and Difference Formulas
• 3.5 Double-Angle and Half-Angle Formulas
• 3.6 Product-to-Sum and Sum-to-Product Formulas
• 3.7 Trigonometric Equations (I)
• 3.8 Trigonometric Equations (II) Chapter Review Chapter Test Cumulative Review Chapter Projects
• Chapter 4 Applications of Trigonometric Functions
• 4.1 Applications Involving Right Triangles
• 4.2 Law of Sines
• 4.3 Law of Cosines
• 4.4 Area of a Triangle
• 4.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects
• Chapter 5 Polar Coordinates; Vectors
• 5.1 Polar Coordinates
• 5.2 Polar Equations and Graphs
• 5.3 The Complex Plane; DeMoivres Theorem
• 5.4 Vectors
• 5.5 The Dot Product
• 5.6 Vectors in Space
• 5.7 The Cross Product Chapter Review Chapter Test Cumulative Review Chapter Projects
• Chapter 6 Analytic Geometry
• 6.1 Conics
• 6.2 The Parabola
• 6.3 The Ellipse
• 6.4 The Hyperbola
• 6.5 Rotation of Axes; General Form of a Conic
• 6.6 Polar Equations of Conics
• 6.7 Plane Curves and Parametric Equations Chapter Review Chapter Test Cumulative Review Chapter Projects
• Chapter 7 Exponential and Logarithmic Functions
• 7.1 Exponential Functions
• 7.2 Logarithmic Functions
• 7.3 Properties of Logarithms
• 7.4 Logarithmic and Exponential Equations
• 7.5 Compound Interest
• 7.6 Exponential Growth and Decay Models; Newtons Law; Logistic Growth and Decay Models
• 7.7 Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects
• Appendix A Review
• A.1 Algebra Essentials
• A.2 Geometry Essentials
• A.3 Factoring Polynomials
• A.4 Solving Equations
• A.5 Complex Numbers; Quadratic Equations in the Complex Number System
• A.6 Interval Notation; Solving Inequalities
• A.7 nth Roots; Rational Exponents; Radical Equations
• A.8 Lines
• A.9 Building Linear Functions from Data
• Appendix B Graphing Utilities
• B.1 The Viewing Rectangle
• B.2 Using a Graphing Utility to Graph Equations
• B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
• B.4 Using a Graphing Utility to Solve Equations
• B.5 Square Screens