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# Algebra and Trigonometry, 2nd Edition

**by**Cynthia Y. Young (Univ. of Central Florida, Orlando, Florida )

2nd

### 9780470222737

0470222735

Hardcover

2/1/2009

Wiley

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This is the 2nd edition with a publication date of 2/1/2009.

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## Summary

Anyone trying to learn algebra and trigonometry may think they understand a concept but then are unable to apply that understanding when they attempt to complete exercises. This innovative book helps them overcome common barriers to learning the concepts and builds confidence in their ability to do mathematics. The second edition presents new sections on modeling at the end of each chapter as well as new material on Limits and Early Functions. Numerous examples are also included that provide more detailed annotations using everyday language. This approach gives them the skills to understand and apply algebra and trigonometry.

## Table of Contents

Prerequisites And Review | |

Real Numbers | |

Integer Exponents and Scientific Notation | |

Polynomials: Basic Operations | |

Factoring Polynomials | |

Rational Expressions | |

Rational Exponents and Radicals | |

Complex Numbers | |

Modeling Your World | |

Review | |

Review Exercises | |

Practice Test | |

Cumulative Test | |

Equations And Inequalities | |

Linear Equations | |

Applications Involving Linear Equations | |

Quadratic Equations | |

Other Types of Equations | |

Linear Inequalities | |

Polynomial and Rational Inequalities | |

Absolute Value Equations and Inequalities | |

Modeling Your World | |

Review | |

Review Exercises | |

Practice Test | |

Cumulative Test | |

Graphs | |

Basic Tools: Cartesian Plane, Distance, and Midpoint | |

Graphing Equations: Point-Plotting, Intercepts and Symmetry | |

Lines | |

Circles | |

Modeling Your World Review | |

Review Exercises | |

Practice Test | |

Cumulative Test | |

Functions And Their Graphs | |

Functions | |

Graphs of Functions | |

Piecewise-Defined Functions | |

Increasing and Decreasing Functions | |

Average Rate of Change | |

Graphing Techniques: Transformations | |

Operation on Functions and Composition of Functions | |

One-to-One Functions and Inverse Functions | |

Modeling Functions Using Variation | |

Modeling Your World Review | |

Review Exercises | |

Practice Test | |

Cumulative Test | |

Polynomial And Rational Functions | |

Quadratic Functions | |

Polynomial Functions of Higher Degree | |

Dividing Polynomials: Long Division and Synthetic Division | |

The Real Zeros of a Polynomial Function | |

Complex Zeros; The Fundamental Theorem of Algebra | |

Rational Functions | |

Modeling Your World | |

Review | |

Review Exercises | |

Practice Test | |

Cumulative Test | |

Exponential And Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Exponential Functions and Their Graphs | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models | |

Modeling Your World | |

Review | |

Review Exercises | |

Practice Test | |

Cumulative Test | |

Trigonometric Functions | |

Angles, Degrees and Triangles | |

Definition 1 of Trigonometric Functions: Right Triangle Ratios | |

Applications of Right Triangle Trigonometry: Solving Right Triangles | |

Definition 2 of Trigonometric Functions: Cartesian Plane | |

Trigonometric Functions of Non-Acute Angles | |

Radian Measure and Applications | |

Definition 3 of Trigonometric Functions: Unit Circle Approach | |

Graphs of Sine and Cosine Functions | |

Graphs of Other Trigonometric Functions | |

Modeling Your World | |

Review | |

Review Exercises | |

Practice Test | |

Cumulative Test | |

Analytic Trigonometry | |

Basic Trigonometric Identities | |

Verifying Trigonometric Identities | |

Sum and Difference Identities | |

Double-Angle Identities | |

Half-Angle Identities | |

Product-to-Sum and Sum-to-Product Identities | |

Inverse Trigonometric Functions | |

Trigonometric Equations | |

Modeling Your World | |

Review | |

Review Exer | |

Table of Contents provided by Publisher. All Rights Reserved. |