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Table of Contents

1. An Introduction to Trigonometric Functions

1.1 An Introduction to Angles: Degree and Radian Measure

1.2 Applications of Radian Measure

1.3 Triangles

1.4 Right Triangle Trigonometry

1.5 Trigonometric Functions of General Angles

1.6 The Unit Circle

 

2. The Graphs of Trigonometric Functions

2.1 The Graphs of Sine and Cosine

2.2 More on Graphs of Sine and Cosine; Phase Shift

2.3 The Graphs of the Tangent, Cosecant, Secant, and Cotangent Functions

2.4 Inverse Trigonometric Functions I

2.5 Inverse Trigonometric Functions II

 

3. Trigonometric Identities, Formulas, and Equations

3.1 Trigonometric Identities

3.2 The Sum and Difference Formulas

3.3 The Double-Angle and Half-Angle Formulas

3.4 The Product-to-Sum and Sum-to-Product Formulas

3.5 Trigonometric Equations

 

4. Applications of Trigonometry

4.1 The Law of Sines

4.2 The Law of Cosines

4.3 Area of Triangles

 

5. Polar Equations, Complex Numbers, and Vectors

5.1 Polar Coordinates and Polar Equations

5.2 The Graphs of Polar Equations

5.3 Complex Numbers; DeMoivre's Theorem

5.4 Vectors

5.5 The Dot Product

 

Appendix A: Degree, Minute, Second Form and Degree Decimal Form

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