  A Precalculus Outline

 Chapter 10:  Foundations of Trigonometry 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 Objective: Types of Angles: Acute, Obtuse, etc. Objective: Complementary and Supplementary Angles Objective: Circle Basics: radius, diameter, circumference, area and Pi Objective: Defining Sine and Cosine using the Unit Circle Objective: Help Memorizing Values on the Unit Circle Objective: Reference Angles Objective: Right Triangle Trigonometry Objective: Special Triangles (45-45-90 and 30-60-90) 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 Objective: The Unit Circle: Cosine and Sine (Section 10.2) Objective: Simplifying radicals Objective: Simplifying complex fractions Objective: Sum and difference identities Objective: Double angle identities Objective: Power reducing identities Objective: Half angle identities 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 Objective: Animation of cosine and sine graphs Objective: Basic Graphs Objective: Transformations of the graphs of the Trigonometric Functions 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) Objective: Inverse Circular Functions 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) 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 Objective: The Six Circular Functions and Fundamental Identities (Section 10.3) Objective: Trigonometric Identities (Section 10.4) Objective: Factoring Objective: Sign diagrams