Trigonometry: A Unit Circle Approach

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  • Edition: 8th
  • Format: Hardcover
  • Copyright: 2008-01-01
  • Publisher: Prentice Hall
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A proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of most readers.Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. Chapter topics include Functions and Their Graphs; Trigonometric Functions; Analytic Trigonometry; Analytic Geometry; Exponential and Logarithmic Functions; and more.For anyone interested in trigonometry.

Table of Contents

Graphs and Functions
The Distance and Midpoint Formulas
Graphs of Equations; Circles
Functions and Their Graph
Properties of Functions
Library of Functions; Piecewise-defined Functions
Graphing Techniques: Transformations
One-to-One Functions; Inverse Functions Chapter Review Chapter Test Cumulative Review Chapter Projects
Trigonometric Functions
Angles and Their Measure
Trigonometric Functions: Unit Circle Approach
Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Cumulative Review Chapter Projects
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (continued)
Trigonometric Identities
Sum and Difference Formulas
Double-Angle and Half-Angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations (I)
Trigonometric Equations (II) Chapter Review Chapter Test Cumulative Review Chapter Projects
Applications of Trigonometric Functions
Applications Involving Right Triangles
Law of Sines
Law of Cosines
Area of a Triangle
Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects
Polar Coordinates; Vectors
Polar Coordinates
Polar Equations and Graphs
The Complex Plane; DeMoivres Theorem
The Dot Product
Vectors in Space
The Cross Product Chapter Review Chapter Test Cumulative Review Chapter Projects
Analytic Geometry
The Parabola
The Ellipse
The Hyperbola
Rotation of Axes; General Form of a Conic
Polar Equations of Conics
Plane Curves and Parametric Equations Chapter Review Chapter Test Cumulative Review Chapter Projects
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Compound Interest
Exponential Growth and Decay Models; Newtons Law; Logistic Growth and Decay Models
Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects
Algebra Essentials
Geometry Essentials
Factoring Polynomials
Solving Equations
Complex Numbers; Quadratic Equations in the Complex Number System
Interval Notation; Solving Inequalities
nth Roots; Rational Exponents; Radical Equations
Building Linear Functions from Data
Graphing Utilities
The Viewing Rectangle
Using a Graphing Utility to Graph Equations
Using a Graphing Utility to Locate Intercepts and Check for Symmetry
Using a Graphing Utility to Solve Equations
Square Screens
Table of Contents provided by Publisher. All Rights Reserved.

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