Chapter 10:  Foundations of Trigonometry

Section 10.1:  Angles and their Measure

Objective: Understanding radian measure and converting between degree and radian measure.

Objective: Oriented Angles in Standard Position

Objective: Finding Coterminal Angles in Degrees

Objective: Finding Coterminal Angles using Radian measure

Objective: Linear and Angular Velocity

Objective: Arc Length and Area of a Sector

* Review for Section 10.1

Objective: Types of Angles: Acute, Obtuse, etc.

Objective: Complementary and Supplementary Angles

Objective: Circle Basics: radius, diameter, circumference, area and Pi

Section 10.2:  The Unit Circle:  Cosine and Sine

Objective: Defining Sine and Cosine using the Unit Circle

Objective: Help Memorizing Values on the Unit Circle

Objective: Reference Angles

Objective: Right Triangle Trigonometry

* Review for Section 10.2

Objective: Special Triangles (45-45-90 and 30-60-90)

Section 10.3:  The Six Circular Functions and Fundamental Identities

Objective: Using the Quotient, Reciprocal, and Pythagorean Identities

Objective: Verifying Identities

Objective: Right Triangle Trigonometry

Objective: Using a calculator to approximate trigonometric values

Objective: Solving Right Triangles

Objective: Applications of Right Triangle Trigonometry

* Review for Section 10.3

Objective: The Unit Circle: Cosine and Sine (Section 10.2)

Objective: Simplifying radicals

Objective: Simplifying complex fractions

Section 10.4:  Trigonometric Identities

Objective: Sum and difference identities

Objective: Double angle identities

Objective: Power reducing identities

Objective: Half angle identities

* Review for Section 10.4

Objective: The Unit Circle: Cosine and Sine (Section 10.2)

Objective: The Six Circular Functions and Fundamental Identities (Sectioni 10.3)

Objective: Simplifying radicals

Objective: Simplifying complex fractions

Section 10.5:  Graphs of the Trigonometric Functions

Objective: Animation of cosine and sine graphs

Objective: Basic Graphs

Objective: Transformations of the graphs of the Trigonometric Functions

* Review for Section 10.5

Objective: The Unit Circle: Cosine and Sine (Section 10.2)

Objective: The Six Circular Functions and Fundamental Identities (Sectioni 10.3)

Objective: Graphs of functions (Section 1.6)

Objective: Transformations of graphs (Section 1.7)

Section 10.6:  The Inverse Trigonometric Functions

Objective: Inverse Circular Functions

* Review for Section 10.6

Objective: Inverse functions

Objective: The Unit Circle: Cosine and Sine (Section 10.2)

Objective: The Six Circular Functions and Fundamental Identities (Section 10.3)

Objective: Graphs of the Trigonometric Functions (Section 10.5)

Section 10.7:  Trigonometric Equations and Inequalities

Objective: Solving basic equations

Objective: Solving equations which are quadratic in form using identities

Objective: Solving equations using the double angle formula

Objective: A mix of more advanced techniques

* Review for Section 10.7

Objective: The Six Circular Functions and Fundamental Identities (Section 10.3)

Objective: Trigonometric Identities (Section 10.4)

Objective: Factoring

Objective: Sign diagrams