CHAPTER 1: The Trigonometric Functions1.1 Historical Overview1.2 The Rectangular Coordinate System1.3 The Distance FormulaExercise 1.11.4 Trigonometric AnglesExercise 1.21.5 Definitions of the Trigonometric Functions of a General AngleExercise 1.31.6 Consequences of the DefinitionsExercise 1.41.7 Given One Trigonometric Function of an Angle, to Draw the Angle and Find the Other FunctionsExercise 1.51.8 Trigonometric Functions of an Acute AngleExercise 1.61.9 Cofunctions1.10 The Trigonometric Functions of 30 degrees, 45 degrees, 60 degreesExercise 1.7Key Terms, Review ExercisesCHAPTER 2: Trigonometric Functions of any Angle2.1 Hand Calculators2.2 Approximations and Significant FiguresExercise 2.12.3 Two ProblemsExercise 2.22.4 Related Angles2.5 Reduction to Functions of an Acute AngleExercise 2.32.6 Trigonometric Functions of the Negative of an AngleExercise 2.4Key Terms, Review ExercisesCHAPTER 3: Solving Triangles and Applications3.1 The Solution of Right TrianglesExercise 3.13.2 Angles of Elevation and Depression; Bearing of a LineExercise 3.23.3 VectorsExercise 3.33.4 Oblique Triangles3.5 The Law of Sines3.6 Applications of the Law of Sines: SAAExercise 3.43.7 The Ambiguous Case: SSAExercise 3.53.8 The Law of Cosines3.9 Applications of the Law of Cosines: SAS and SSSExercise 3.63.10 The Area of a TriangleExercise 3.7Key Terns, Review ExercisesCHAPTER 4: Radian Measure4.1 The RadianExercise 4.14.2 Length of a Circular Arc4.3 The Wrapping Function4.4 The Circular FunctionsExercise 4.24.5 Linear and Angular VelocityExercise 4.3Key Terms, Reviewer ExercisesCHAPTER 5: Trigonometric Identities5.1 The Fundamental RelationsExercise 5.15.2 Algebraic Operations with the Trigonometric FunctionsExercise 5.25.3 Identities and Conditional Equations5.4 Trigonometric IdentitiesExercise 5.3Key Terms, Review ExercisesCHAPTER 6: Functions of Two Angles6.1 Functions of the Sum of Two AnglesExercise 6.16.2 tan(A + B)6.3 Reduction of a sin O + b cos O to k sin(O + H)Exercise 6.26.4 Double-Angle Formulas6.5 Half-Angle FormulasExercise 6.36.6 Product-to-Sum Formulas; Sum-to-Product FormulasExercise 6.4Key Terms, Review ExercisesCHAPTER 7: Trigonometric Equations7.1 Conditional Trigonometric Equations7.2 Solving a Trigonometric Equation AlgebraicallyExercise 7.1Key Terms, Review ExercisesCHAPTER 8: Graphs of the Trigonometric Functions8.1 Periodic Functions8.2 Graphs of the Trigonometric FunctionsExercise 8.18.3 The Graph y = a sin(bx + c)8.4 Sketching Curves by Composition of y Coordinates8.5 The Graph of y = a sin x + b cos xExercise 8.28.6 Using Graphing CalculatorsExercise 8.3Key Terms, Review ExercisesCHAPTER 9: Inverse Trigonometric Functions9.1 Inverse FunctionsExercise 9.19.2 Inverse Trigonometric FunctionsExercise 9.29.3 Operations Involving Inverse Trigonometric FunctionsExercise 9.3Key Terms, Review ExercisesCHAPTER 10: Transcendental Functions10.1 The Logarithm FunctionExercise 10.110.2 The Exponential FunctionExercise 10.210.3 Logarithmic and Exponential EquationsExercise 10.3Key Terms, Review ExercisesCHAPTER 11: Polar Coordinates11.1 Parametric EquationsExercise 11.111.2 Polar CoordinatesExercise 11.211.3 Graphing in Polar CoordinatesExercise 11.3Key Terms, Review ExercisesCHAPTER 12: Complex Numbers12.1 Complex NumbersExercise 12.112.2 Graphical Representation of Complex Numbers12.3 Polar Form of a Complex NumberExercise 12.212.4 Multiplication of Complex Numbers in Polar Form12.5 DeMoivre's TheoremExercise 12.3Key Terms, Review ExercisesCHAPTER 13: Topics From Analytic Geometry13.1 Straight LinesExercise 13.113.2 The ParabolaExercise 13.213.3 The EllipseExercise 13.3Key Terms, Review ExercisesAppendixA.1 Circular and Exponential FunctionsExercise A.1A.2 Hyperbolic Trigonometric FunctionsExercise A.2A.3 Change of Base of LogarithmsExercise A.3A.4 Using a Table of Trigonometric FunctionsExercise A.4A.5 InterpolationExercise A.5AnswersTableValues of the Trigonometric Functions to Four PlacesIndex
