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ISBN13: 978-0321356901

ISBN10: 032135690X Edition: 2ND 07

Copyright: 2007

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

ISBN10: 032135690X Edition: 2ND 07

Copyright: 2007

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

**P. Algebraic Prerequisites.**

The Cartesian Coordinate System.

Functions.

Families of Functions, Transformations, and Symmetry.

Compositions and Inverses.

**1. Angles and the Trigonometric Functions.**

Angles and Degree Measure.

Radian Measure, Arc Length, and Area.

Angular and Linear Velocity.

The Trigonometric Functions.

The Fundamental Identity and Reference Angles.

Right Triangle Trigonometry.

**2. Graphs of the Trigonometric Functions.**

Graphs of the Sine and Cosine Functions.

The General Sine Wave.

Graphs of the Tangent and Cotangent Functions.

Graphs of the Secant and Cosecant Functions.

Combining Functions.

**3. Trigonometric Identities.**

Basic Identities.

Verifying Identities.

Sum and Difference Identities for Cosine.

Sum and Difference Identities for Sine and Tangent.

Double-Angle and Half-Angle Identities.

Product and Sum Identities.

**4. Solving Conditional Trigonometric Equations.**

The Inverse Trigonometric Functions.

Basic Sine, Cosine, and Tangent Equations.

Multiple Angle Equations.

Trigonometric Equations of the Quadratic Type.

**5. Applications of Trigonometry.**

The Law of Sines.

The Law of Cosines.

Area of a Triangle.

Vectors.

**6. Complex Numbers, Polar Coordinates, and Parametric Equations.**

Complex Numbers.

Trigonometric Form of Complex Numbers.

Powers and Roots of Complex Numbers.

Polar Equations.

Parametric Equations.

ISBN10: 032135690X Edition: 2ND 07

Copyright: 2007

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

Table of Contents

**P. Algebraic Prerequisites.**

The Cartesian Coordinate System.

Functions.

Families of Functions, Transformations, and Symmetry.

Compositions and Inverses.

**1. Angles and the Trigonometric Functions.**

Angles and Degree Measure.

Radian Measure, Arc Length, and Area.

Angular and Linear Velocity.

The Trigonometric Functions.

The Fundamental Identity and Reference Angles.

Right Triangle Trigonometry.

**2. Graphs of the Trigonometric Functions.**

Graphs of the Sine and Cosine Functions.

The General Sine Wave.

Graphs of the Tangent and Cotangent Functions.

Graphs of the Secant and Cosecant Functions.

Combining Functions.

**3. Trigonometric Identities.**

Basic Identities.

Verifying Identities.

Sum and Difference Identities for Cosine.

Sum and Difference Identities for Sine and Tangent.

Double-Angle and Half-Angle Identities.

Product and Sum Identities.

**4. Solving Conditional Trigonometric Equations.**

The Inverse Trigonometric Functions.

Basic Sine, Cosine, and Tangent Equations.

Multiple Angle Equations.

Trigonometric Equations of the Quadratic Type.

**5. Applications of Trigonometry.**

The Law of Sines.

The Law of Cosines.

Area of a Triangle.

Vectors.

**6. Complex Numbers, Polar Coordinates, and Parametric Equations.**

Complex Numbers.

Trigonometric Form of Complex Numbers.

Powers and Roots of Complex Numbers.

Polar Equations.

Parametric Equations.

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