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# Trigonometry

**by**McKeague, Charles P.; Turner, Mark D.

6th

### 9780495108351

0495108359

Hardcover

9/26/2007

Cengage Learning

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## Summary

This easy-to-understand trigonometry text makes learning trigonometry an engaging, simple process. The book contains many examples that parallel most problems in the problem sets. There are many application problems that show how the concepts can be applied to the world around you, and review problems in every problem set after Chapter 1, which make review part of your daily schedule. If you have been away from mathematics for awhile, study skills listed at the beginning of the first six chapters give you a path to success in the course. Finally, the authors have included some historical notes in case you are interested in the story behind the mathematics you are learning. This text will leave you with a well-rounded understanding of the subject and help you feel better prepared for future mathematics courses.

## Table of Contents

The Six Trignonmetric Functions | |

Angles, Degrees, and Special Triangles | |

The Rectangular Coordinate System | |

Definition I: Trigonometric Functions | |

Introduction to Identities | |

More on Identities | |

Right Angle Trigonometry | |

Definition II: Right Triangle Trigonometry | |

Calculators and Trigonometric Functions of an Acute Angle | |

Solving Right Triangles | |

Applications | |

Vectors: A Geometric Approach | |

Radian Measure | |

Reference Angle | |

Radians and Degrees | |

Definition III: Circular Functions | |

Arc Length and Area of a Sector | |

Velocities | |

Graphing and Inverse Functions | |

Basic Graphs | |

Amplitude, Reflection, and Period | |

Vertical Translation and Phase Shift | |

The Other Trigonometric Functions | |

Finding an Equation From its Graph | |

Graphing Combinations of Functions | |

Inverse Trigonometric Functions | |

Identities and Formulas | |

Proving Identities | |

Sum and Difference Formulas | |

Double-Angle Formulas | |

Half-Angle Formulas | |

Additional Identities | |

Equations | |

Solving Trigonometric Equations | |

More on Trigonometric Equations | |

Trigonometric Equations Involving Multiple Angles | |

Parametric Equations and Further Graphing | |

Triangles | |

The Law of Sines | |

The Ambiguous Case | |

The Law of Cosines | |

The Area of a Triangle | |

Vectors: An Algebraic Approach | |

Vectors: The Dot Product | |

Complex Numbers and Polar Coordinates | |

Complex Numbers | |

Trigonometric Form for Complex Numbers | |

Products and Quotients in Trigonometric Form | |

Roots of a Complex Number | |

Polar Coordinates | |

Equations in Polar Coordinates and Their Graphs | |

Review of Functions | |

Introduction to Functions | |

The Inverse of a Function | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithms Are Exponents | |

Properties of Logarithms | |

Common Logarithms and Natural Logarithms | |

Exponential Equations and Change of Base | |

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