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Trigonometry

By J. S. Ratti, Marcus S. McWaters

Published by Pearson

Published Date: Oct 30, 2009

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Table of Contents

1. Trigonometric Functions         

1.1. Angles

1.2. Triangles

1.3. Trigonometric Functions

1.4. Reference Angles

1.5. Fundamental Trigonometric Identities

Summary

Review

Practice Test

2. Right Triangle Trigonometry   

2.1. Trigonometric Functions of an Acute Angle

2.2. Solving Right Triangles

2.3. Additional Applications of Right Triangles

Summary

Review

Practice Test

3. Radian Measure and Circular Functions

3.1. Radian Measure

3.2. Applications of Radian Measure

3.3. The Unit Circle and Circular Functions

3.4. Angular and Linear Speed

Summary

Review

Practice Test

4. Graphs of the Circular Functions

4.1. Graphs of the Circular Functions

4.2. Amplitude and Period

4.3. Translations of the Graphs of Circular Functions

Summary

Review

Practice Test

5. Trigonometric Identities

5.1. Verifying Identities

5.2. Sum and Difference Identities

5.3. Double-Angle and Half-Angle Identities

5.4.  Product-to-Sum and Sum-to-Product Identities

Summary

Review

Practice Test

6. Inverse Functions and Trigonometric Equations

6.1. Inverse Trigonometric Functions

6.2. Trigonometric Equations I

6.3. Trigonometric Equations II

Summary

Review

Practice Test

7. Applications of Trigonometric Functions

7.1.  The Law of Sines

7.2. The Law of Sines: Ambiguous Case

7.3. The Law of Cosines

7.4. Area of a Triangle

Summary

Review

Practice Test

8. Vectors

8.1. Geometric Vectors

8.2. Algebraic Vectors

8.3. The Dot Product

Summary

Review

Practice Test

 

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