Trigonometry

Chapter 1: An Introduction to Trigonometry Preview 1.1 Angle Measure, Special Triangles, and Special Angles 1.2 The Trigonometry of Right Triangles 1.3 Trigonometry and the Coordinate Plane 1.4 Unit Circles and Trigonometric Functions Chapter 2: Trigonometric Graphs and Models 2.1 Graphs of Sine and Cosine Functions 2.2 Graphs of Tangent and Cotangent Functions 2.3 Transformations and Applications of Trigonometric Graphs 2.4 Trigonometric Models Chapter 3: Trig Identities: Their Purpose, Place, and Application Preview 3.1 Fundamental Identities and Families of Identities 3.2 Constructing and Verifying Identities 3.3 The Sum and Difference Identities 3.4 Double Angle, Half Angle, and Product-to-Sum Identities 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 4.4 General Trig Equations and Applications 4.5 Parametric Equations and Graphs 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 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 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 6.4 The Analytic Parabola 6.5 Polar Coordinates, Equations, and Graphs 6.6 More on the Conic Sections: Rotations of Axes and Polar FormJohn Coburn is the author of 'Trigonometry', published 2007 under ISBN 9780073312668 and ISBN 0073312665.