Math 124: Trigonometry

Class Notes


Here are the notes I will be lecturing from in class. Remember you don't have to use the notes if you don't want to, but I highly suggest you do.

CHAPTER 1: Trigonometric Functions
Angles (Section 1.1)
Angle Relationships and Similar Triangles (Section 1.2)
Trigonometric Functions (Section 1.3)
Using the Definitions of the Trigonometric Functions (Section 1.4)
CHAPTER 2: Acute Angles and Right Triangles

Trig Functions of Acute Angles (Section 2.1)

Trig Functions of Non-Acute Angles (Section 2.2)
Finding Values Using a Calculator (Section 2.3)
Solving Right Triangles (Section 2.4)
Further Applications of Right Triangles (Section 2.5)
Chapter 3: Radian Measure and the Unit Circle

Radian Measure (Section 3.1)

Applications of Radian Measure (Section 3.2)

The Unit Circle and Circular Functions (Section 3.3)

The Magic Picture
Linear and Angular Speed (Section 3.4)
Chapter 4: Graphs of the Circular Functions
Graphs of the Sine and Cosine Function (Section 4.1)
Translations of Sine and Cosine (Section 4.2)
Graphs of the Tangent and Cotangent Functions (Section 4.3)
Graphs of the Secant and Cosecant Functions (Section 4.4)
Harmonic Motion (Section 4.5)
Chapter 5: Trigonometric Identities

*An Identities Sheet

Fundamental Identities (Section 5.1)
Verifying Trigonometric Identities (Section 5.2)
Sum and Difference for Cosine (Section 5.3)
Sum and Difference for Sine and Tangent (Section 5.4)
Double-Angle Identities (Section 5.5)
Half-Angle Identites (Section 5.6)
Chapter 6: Inverse Circular Functions and Equations
Inverse Circular Functions (Section 6.1), Homework Solutions
Trigonometric Equations I (Section 6.2)
Trigonometric Equations II (Section 6.3)
Chapter 7: Applications