Trigonometry

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Chapter P: Preliminaries

P.1. Review of Real Numbers and Their Properties

 Real Number Line - Activity A

P.2. Solving Equations

 Solving Two-Step Equations

P.3. The Cartesian Plane and Graphs of Equations

 Points in the Coordinate Plane - Activity B

 Using Tables, Rules and Graphs

 Distance Formula - Activity A

P.4. Linear Equations in Two Variables

 Slope - Activity A

 Slope-Intercept Form of a Line - Activity A

 Point-Slope Form of a Line - Activity A

P.5. Functions

 Linear Functions

 Introduction to Functions

P.6. Analyzing Graphs of Functions

 Fourth-Degree Polynomials - Activity A

 Quadratic and Absolute Value Functions

 Quadratics in Polynomial Form - Activity A

 Functions Involving Square Roots

P.8. Transformation of Functions

 Rotations, Reflections and Translations

 Translating and Scaling Functions

P.9. Inverse Functions

 Logarithmic Functions - Activity A

Chapter 1: Trigonometry

1.2. Trigonometric Functions: The Unit Circle

 Unit Circle

1.3. Right Triangle Trigonometry

 Sine and Cosine Ratios - Activity A

 Sine, Cosine and Tangent

1.4. Trigonometric Functions of Any Angle

 Cosine Function

 Sine Function

 Tangent Function

1.5. Graphs of Sine and Cosine Functions

 Cosine Function

 Sine Function

1.6. Graphs of Other Trigonometric Functions

 Tangent Function

Chapter 2: Analytic Trigonometry

2.2. Verifying Trigonometric Identities

 Simplifying and Verifying Trigonometric Functions

2.4. Sum and Difference Formulas

 Sum and Difference Identities for Sine and Cosine

Chapter 3: Additional Topics in Trigonometry

3.3. Vectors in the Plane

 Adding Vectors

Chapter 4: Complex Numbers

4.1. Complex Numbers

 Points in the Complex Plane - Activity A

 Absolute Value of a Complex Number

4.2. Complex Solutions of Equations

 Roots of a Quadratic

4.3. Trigonometric Form of a Complex Numbers

 Absolute Value of a Complex Number

Chapter 5: Exponential and Logarithmic Functions

5.1. Exponential Functions and Their Graphs

 Exponential Functions - Activity A

 Exponential Growth and Decay - Activity A

5.2. Logarithmic Functions and Their Graphs

 Logarithmic Functions - Activity A

5.5. Exponential and Logarithmic Models

 Exponential Growth and Decay - Activity A

Chapter 6: Topic in Analytic Geometry

6.2. Introduction to Conics: Parabolas

 Parabolas - Activity B

 Parabola with Horizontal Directrix

6.3. Ellipses

 Ellipse - Activity A

6.4. Hyperbolas

 Hyperbola - Activity A

6.7. Polar Coordinates

 Points in Polar Coordinates

Content correlation last revised: 10/26/2011