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Full Description
These authors understand what it takes to be successful in mathematics, the skills that students bring to this course, and the way that technology can be used to enhance learning without sacrificing math skills. As a result, they have created a textbook with an overall learning system involving preparation, practice, and review to help students get the most out of the time they put into studying. In sum, Sullivan and Sullivan's Trigonometry: Enhanced with Graphing Utilities gives students a model for success in mathematics.
Contents
Chapter 1 Graphs and Functions1.1 Rectangular Coordinates; Introduction to Graphing Equations1.2 Intercepts; Symmetry; Graphing Key Equations; Circles1.3 Functions1.4 The Graph of a Function 1.5 Properties of Functions 1.6 Library of Functions; Piecewise-defined Functions1.7 Graphing Techniques: Transformations1.8 One-to-One Functions; Inverse FunctionsChapter 2 Trigonometric Functions2.1 Angles and Their Measure2.2 Right Triangle Trigonometry2.3 Evaluating Trigonometric Functions of Acute Angles2.4 Evaluating Trigonometric Functions of General Angle2.5 Unit Circle Approach; Properties of the Trigonometric Functions2.6 Graphs of the Sine and Cosine Functions2.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions2.8 Phase Shift; Building Sinusoidal ModelsChapter 3 Analytic Trigonometry3.1 The Inverse Sine, Cosine, and Tangent Functions3.2 The Inverse Trigonometric Functions (Continued)3.3 Trigonometric Identities3.4 Sum and Difference Formulas3.5 Double-angle and Half-angle Formulas3.6 Product-to-Sum and Sum-to-Product Formulas3.7 Trigonometric Equations (I)3.8 Trigonometric Equations (II)Chapter 4 Applications of Trigonometric Functions4.1 Applications Involving Right Triangles4.2 The Law of Sines4.3 The Law of Cosines4.4 Area of a Triangle4.5 Simple Harmonic Motion; Damped Motion; Combining WavesChapter 5 Polar Coordinates; Vectors5.1 Polar Coordinates5.2 Polar Equations and Graphs5.3 The Complex Plane; DeMoivre's Theorem5.4 Vectors5.5 The Dot Product5.6 Vectors in Space5.7 The Cross ProductChapter 6 Analytic Geometry6.1 Conics6.2 The Parabola6.3 The Ellipse6.4 The Hyperbola6.5 Rotation of Axes; General Form of a Conic6.6 Polar Equations of Conics6.7 Plane Curves and Parametric EquationsChapter 7 Exponential and Logarithmic Functions7.1 Exponential Functions7.2 Logarithmic Functions7.3 Properties of Logarithms7.4 Logarithmic and Exponential Equations7.5 Financial Models7.6 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models7.7 Building Exponential, Logarithmic, and Logistic Models from DataAppendix A ReviewA.1 Algebra EssentialsA.2 Geometry EssentialsA.3 Factoring PolynomialsA.4 Solving Equations AlgebraicallyA.5 Solving Equations Using a Graphing UtilityA.6 Complex Numbers; Quadratic Equations in the Complex Number SystemA.7 Interval Notation; Solving InequalitiesA.8 nth Roots; Rational ExponentsA.9 LinesA.10 Building Linear Models from Data
