Chapter 1 – Fundamentals of Right Triangle Trigonometry
1.1 Angles
1.2 Triangles, Similar Triangles, and the Pythagorean Theorem
1.3 Right Triangle Trigonometry
1.4 Calculators and Solving Right Triangles
1.5 Applications
Sample Exam Questions
Chapter 2 - Trigonometric Functions of Any Angle
2.1 Trigonometric Functions of Angles in Standard Position
2.2 The Reference Angle Theorem
2.3 Fundamental Identities
2.4 Applications
Sample Exam Questions
Chapter 3 – Radian Measure and General Trigonometric Functions
3.1 Radian Measure
3.2 Arc-Length and Area of a Sector
3.3 Unit Circle Trigonometry
3.4 Circular Motion: Linear and Angular Speed
Sample Exam Questions
Chapter 4 – Trigonometric Functions and Their Graphs
4.1 Basic Graphs of the Sine, Cosine, and Tangent Functions
4.2 Amplitude and Period
4.3 Phase Shifts and Vertical Translations
4.4 Graphs of the Cosecant, Secant and Cotangent Functions
4.5 Inverse Trigonometric Functions and Their Graphs
4.6Simple Harmonic Motion (coming soon)
Sample Exam Questions
Chapter 5 – Identities and Formulas
5.1 Identities and Their Proofs
5.2 Sum and Difference Identities
5.3 Double-Angle Identities
5.4 Half-Angle Identities
5.5 Product-to-Sum and Inverse Identities
Sample Exam Questions
Chapter 6 - Solving Trigonometric Equations
6.1 Solving Trigonometric Equations Linear in Form
6.2 Solving Trigonometric Equations Quadratic in Form
6.3 Solving Trigonometric Equations Involving Multiple Angles
6.4Equations Involving Inverse Trigonometric Functions (coming soon)
Sample Exam Questions
Chapter 7 - General Triangles and Vectors
7.1 Law of Sines
7.2 Law of Cosines
7.3 Area of Triangles
7.4 The Algebra of Vectors
7.5 The Dot Product and Applications
Sample Exam Questions
Chapter 8 - Complex Numbers and Polar Graphs
8.1 Complex Numbers
8.2 Trigonometric Form of a Complex Number
8.3 Powers and Roots of a Complex Number (De Moivre’s Theorem)
8.4 Polar Coordinates
8.5 Polar Equations and Their Graphs
8.6Parametric Equations and Their Graphs (coming soon)
Sample Exam Questions
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1.1 Angles
1.2 Triangles, Similar Triangles, and the Pythagorean Theorem
1.3 Right Triangle Trigonometry
1.4 Calculators and Solving Right Triangles
1.5 Applications
Sample Exam Questions
Chapter 2 - Trigonometric Functions of Any Angle
2.1 Trigonometric Functions of Angles in Standard Position
2.2 The Reference Angle Theorem
2.3 Fundamental Identities
2.4 Applications
Sample Exam Questions
Chapter 3 – Radian Measure and General Trigonometric Functions
3.1 Radian Measure
3.2 Arc-Length and Area of a Sector
3.3 Unit Circle Trigonometry
3.4 Circular Motion: Linear and Angular Speed
Sample Exam Questions
Chapter 4 – Trigonometric Functions and Their Graphs
4.1 Basic Graphs of the Sine, Cosine, and Tangent Functions
4.2 Amplitude and Period
4.3 Phase Shifts and Vertical Translations
4.4 Graphs of the Cosecant, Secant and Cotangent Functions
4.5 Inverse Trigonometric Functions and Their Graphs
4.6
Sample Exam Questions
Chapter 5 – Identities and Formulas
5.1 Identities and Their Proofs
5.2 Sum and Difference Identities
5.3 Double-Angle Identities
5.4 Half-Angle Identities
5.5 Product-to-Sum and Inverse Identities
Sample Exam Questions
Chapter 6 - Solving Trigonometric Equations
6.1 Solving Trigonometric Equations Linear in Form
6.2 Solving Trigonometric Equations Quadratic in Form
6.3 Solving Trigonometric Equations Involving Multiple Angles
6.4
Sample Exam Questions
Chapter 7 - General Triangles and Vectors
7.1 Law of Sines
7.2 Law of Cosines
7.3 Area of Triangles
7.4 The Algebra of Vectors
7.5 The Dot Product and Applications
Sample Exam Questions
Chapter 8 - Complex Numbers and Polar Graphs
8.1 Complex Numbers
8.2 Trigonometric Form of a Complex Number
8.3 Powers and Roots of a Complex Number (De Moivre’s Theorem)
8.4 Polar Coordinates
8.5 Polar Equations and Their Graphs
8.6
Sample Exam Questions
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