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Table of Contents

1. The Trigonometric Functions.

Angles.

Angle Relationships and Similar Triangles.

Using the Definitions of the Trigonometric Functions.

2. Acute Angles and Right Triangles.

Trigonometric Functions of Acute Angles.

Trigonometric Functions of Non-Acute Angles.

Finding Trigonometric Function Values Using a Calculator.

Solving Right Triangles.

Further Applications of Right Triangles.

3. Radian Measure and the Circular Functions.

Radian Measure.

Applications of Radian Measure.

The Unit Circle and Circular Functions.

Linear and Angular Velocity.

4. Graphs of the Circular Functions.

Graphs of the Sine and Cosine Functions.

Translations of the Graphs of the Sine and Cosine Functions.

Graphs of the Other Circular Functions.

Harmonic Motion.

5. Trigonometric Identities.

Fundamental Identities.

Verifying Trigonometric Identities.

Sum and Difference Identities for Cosine.

Sum and Difference Identities for Sine and Tangent.

Double-Angle Identities.

Half-Angle Identities.

6. Inverse Trigonometric Functions and Trigonometric Equations.

Inverse Trigonometric Functions.

Trigonometric Equations I.

Trigonometric Equations II.

Equations Involving Inverse Trigonometric Functions.

7. Applications of Trigonometry and Vectors.

Oblique Triangles and the Law of Sines.

The Ambiguous Case of the Law of Sines.

The Law of Cosines.

Vectors and the Dot Product.

Applications of Vectors.

8. Complex Numbers, Polar Equations, and Parametric Equations.

Complex Numbers.

Trigonometric (Polar) Form of Complex Numbers.

The Product and Quotient Theorems.

Powers and Roots of Complex Numbers.

Polar Equations and Graphs.

Parametric Equations, Graphs, and Applications.

9. Exponential and Logarithmic Functions.

Exponential Functions.

Logarithmic Functions.

Evaluating Logarithms; Equations and Applications.

Appendix A: Equations and Inequalities.


Appendix B: Graphs of Equations.


Appendix C: Functions.


Appendix D: Graphing Techniques.


Glossary.


Solutions to Selected Exercises.


Answers to Selected Exercises.


Index of Applications.


Index.

Get Trigonometry, 8th Edition by Margaret L. Lial, American River College John Hornsby, University of New Orleans David I. Schneider, University of Maryland

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