Trigonometry (Coburn), 1st EditionTable of Contents
Preview 1.1 Angle Measure, Special Triangles and Special Angles 1.2 The Trigonometry of Right Triangles • Mid-Chapter Check • Reinforcing Basic Concepts: The Area of a Triangle 1.3 Trigonometry and the Coordinate Plane 1.4 Unit Circles and Trigonometric Functions Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Signs, Quadrants, and Reference Angles Strengthening Core Skills: More on Radians Chapter 2: Trigonometric Graphs and Models 2.1 Graphs of Sine and Cosine Functions 2.2 Graphs of Tangent and Cotangent Functions • Mid-Chapter Check • Reinforcing Basic Concepts: Trigonometric Potpourri 2.3 Transformations and Applications of Trigonometric Graphs 2.4 Trigonometric Models Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Variable Amplitudes and Modeling the Tides Strengthening Core Skills: Standard Angles, Reference Angles, and the Trig Functions Cumulative Review 1 - 2 Chapter 3: Trig Identities: Their Purpose, Place, and Application Preview 3.1 Fundamental Identities and Families of Identities 3.2 Constructing and Verifying Identities • Mid-Chapter Check • Reinforcing Basic Concepts: Understanding Identities 3.3 The Sum and Difference Identities 3.4 Double Angle, Half Angle, and Product-to-Sum identities Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Seeing the Beats as the Beats Go On Strengthening Core Skills: Connections and Relationships Cumulative Review 1 - 3 Chapter 4: Trigonometric Equations Preview 4.1 One-to-One and Inverse Functions 4.2 The Inverse Trig Functions and their Application 4.3 Solving Basic Trig Equations • Mid -Chapter Check • Reinforcing Basic Concepts: More on Equation Solving 4.4 General Trig Equations and Applications 4.5 Parametric Equations and Graphs Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: More on Parametric Equations Strengthening Core Skills: Trigonometric Equations and Inequalities Cumulative Review 1 - 4 Chapter 5: Applications of Trigonometry Preview 5.1 Oblique Triangles and the Law of Sines 5.2 Law of Sines and the Ambiguous Case 5.3 The Law of Cosines 5.4 Vectors and Vector Diagrams • Mid -Chapter Check • Reinforcing Basic Concepts: Scale Drawings and the Laws of Sine and Cosine 5.5 Vectors Applications and the Dot Product 5.6 Complex Numbers 5.7 Complex Numbers in Trigonometric Form 5.8 Demoivre’s Theorem and the Nth Roots Theorem Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Investigating Projectile Motion Strengthening Core Skills: Vectors and Static Equilibrium Cumulative Review 1 - 5 Chapter 6: Conic Sections and Polar Coordinates Preview 6.1 The Circle and the Ellipse 6.2 The Hyperbola 6.3 Foci and the Analytic Ellipse and Hyperbola • Mid-Chapter Check • Reinforcing Basic Concepts: Ellipses and Hyperbolas with a, b rational 6.4 The Analytic Parabola 6.5 Polar Coordinates, Equations, and Graphs 6.6 More on the Conic Sections: Rotation of Axes and Polar Form Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Conic Rotations in Polar Form Strengthening Core Skills: Simplifying and Streamlining Computations for the Rotation of Axes Cumulative Review 1 – 6 Appendix I: Transformations of a Basic Graph Appendix II: Solving Equations Graphically Appendix III: Regression and Calculator Use Appendix IV: Miscellaneous Algebra Review |  |
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