9780495108351

Trigonometry

by ;
  • ISBN13:

    9780495108351

  • ISBN10:

    0495108359

  • Edition: 6th
  • Format: Hardcover
  • Copyright: 2007-09-26
  • Publisher: 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
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