Chapter 1. Trigonometric Functions
1.1: Angles
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6.
1.1 --Quick Review (03:00)
1.2: Angle Relationships and Similar Triangles
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
1.2 --Quick Review (05:26)
1.3: Trigonometric Functions
Ex 1, Ex 2, Ex 3, Ex 4.
1.3 --Quick Review (06:49)
1.4: Using the Definitions of the Trigonometric Functions
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7.
1.4 --Quick Review (11:07)
Chapter 2. Acute Angles and Right Triangles
2.1: Trigonometric Functions of Acute Angles
Ex 1, Ex 2, Ex 3, Ex 4 Ex 5
2.1 --Quick Review (06:34)
2.2: Trigonometric Functions of Non-Acute Angles
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6.
2.2 --Quick Review (06:26)
2.3: Finding Trigonometric Function Values Using a Calculator
Ex 1, Ex 2, Ex 3,
2.3 --Quick Review (07:41)
2.4: Solving Right Triangles
Ex 1, Ex 2, Ex 3, Ex 4
2.4 --Quick Review (03:22)
2.5: Further Applications of Right Triangles
Ex 1, Ex 2, Ex 3, Ex 4,
2.5 --Quick Review (01:51)
Chapter 3. Radian Measure and the Unit Circle
3.1: Radian Measure
Ex 1, Ex 2, Ex 3.
3.1 --Quick Review (02:52)
3.2: Applications of Radian Measure
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
3.2 --Quick Review (02:38)
3.3: The Unit Circle and Circular Functions
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6.
3.3 --Quick Review (05:30)
3.4: Linear and Angular Speed
Ex 1, Ex 2, Ex 3.
3.4 --Quick Review (02:32)
Chapter 4. Graphs of the Circular Functions
4.1: Graphs of the Sine and Cosine Functions
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7.
4.1 --Quick Review (01:27)
4.2: Translations of the Graphs of the Sine and Cosine Functions
Ex 1, Ex 2, Ex 3Ex 4, Ex 5, Ex 6.
4.2 --Quick Review (05:41)
4.3: Graphs of the Tangent and Cotangent Functions
Ex 1. Ex 2, Ex 3, Ex 4, Ex 5, Ex 6.
4.3 --Quick Review (05:18)
4.4: Graphs of the Secant and Cosecant Functions
Ex 1, Ex 2, Ex 3.
4.4 --Quick Review (06:14)
4.5: Harmonic Motion
Ex 1, Ex 2.
4.5 --Quick Review (02:35)
Chapter 5. Trigonometric Identities
5.1: Fundamental Identities
Ex 1, Ex 2, Ex 3.
5.1 --Quick Review (04:32)
5.2: Verifying Trigonometric Identities
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6.
5.2 --Quick Review (03:33)
5.3: Sum and Difference Identities for Cosine
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6.
5.3 --Quick Review (04:01)
5.4: Sum and Difference Identities for Sine and Tangent
Ex 1, Ex 2, Ex 3, Ex 4.
5.4 --Quick Review (02:22)
5.5: Double-Angle Identities
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7, Ex 8.
5.5 --Quick Review (08:29)
5.6: Half-Angle Identities
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
5.6 --Quick Review (03:28)
Chapter 6. Inverse Circular Functions and Trigonometric Equations
6.1: Inverse Circular Functions
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7, Ex 8.
6.1 --Quick Review (09:11)
6.2: Trigonometric Equations I
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6.
6.2 --Quick Review (04:36)
6.3: Trigonometric Equations II
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
6.3 --Quick Review (04:41)
6.4: Equations Involving Inverse Trigonometric Functions
Ex 1, Ex 2, Ex 3, Ex 4.
6.4 --Quick Review (02:34)
Chapter 7. Applications of Trigonometry and Vectors
7.1: Oblique Triangles and the Law of Sines
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
7.1 --Quick Review (04:39)
7.2: The Ambiguous Case of the Law of Sines
Ex 1, Ex 2, Ex 3, Ex 4.
7.2 --Quick Review (06:39)
7.3: The Law of Cosines
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
7.3 --Quick Review (05:09)
7.4: Vectors, Operation, and the Dot Product
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7.
7.4 --Quick Review (15:18)
7.5: Applications of Vectors
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
7.5 --Quick Review (15:18)
Chapter 8. Complex Numbers, Polar Equations, and Parametric Equations
8.1: Complex Numbers
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7, Ex 8, Ex 9.
8.1 --Quick Review (06:07)
8.2: Trigonometric (Polar) Form of Complex Numbers
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5.
8.2 --Quick Review (04:26)
8.3: The Product and Quotient Theorems
Ex 1, Ex 2, Ex 3.
8.3 --Quick Review (05:41)
8.4: De Moivre’s Theorem; Powers and Roots of Complex Numbers
Ex 1, Ex 2, Ex 3, Ex 4.
8.4 --Quick Review (06:10)
8.5: Polar Equations and Graphs
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7, Ex 8.
8.5 --Quick Review (07:20)
8.6: Parametic Equations, Graphs, and Applications
Ex 1, Ex 2, Ex 3, Ex 4, Ex 5, Ex 6, Ex 7, Ex 8.
8.6 --Quick Review (10:21)