A Precalculus Outline
Chapter 10: Foundations of Trigonometry |
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Objective: Understanding radian measure and converting between degree and radian measure. |
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Objective: Oriented Angles in Standard Position |
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Objective: Finding Coterminal Angles in Degrees |
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Objective: Finding Coterminal Angles using Radian measure |
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Objective: Linear and Angular Velocity |
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Objective: Arc Length and Area of a Sector |
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Objective: Types of Angles: Acute, Obtuse, etc. |
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Objective: Complementary and Supplementary Angles |
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Objective: Circle Basics: radius, diameter, circumference, area and Pi |
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Objective: Defining Sine and Cosine using the Unit Circle |
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Objective: Help Memorizing Values on the Unit Circle |
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Objective: Reference Angles |
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Objective: Right Triangle Trigonometry |
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Objective: Special Triangles (45-45-90 and 30-60-90) |
Section 10.3: The Six Circular Functions and Fundamental Identities |
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Objective: Using the Quotient, Reciprocal, and Pythagorean Identities |
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Objective: Verifying Identities |
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Objective: Right Triangle Trigonometry |
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Objective: Using a calculator to approximate trigonometric values |
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Objective: Solving Right Triangles |
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Objective: Applications of Right Triangle Trigonometry |
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Objective: The Unit Circle: Cosine and Sine (Section 10.2) |
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Objective: Simplifying radicals |
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Objective: Simplifying complex fractions |
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Objective: Sum and difference identities |
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Objective: Double angle identities |
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Objective: Power reducing identities |
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Objective: Half angle identities |
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Objective: The Unit Circle: Cosine and Sine (Section 10.2) |
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Objective: The Six Circular Functions and Fundamental Identities (Sectioni 10.3) |
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Objective: Simplifying radicals |
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Objective: Simplifying complex fractions |
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Objective: Animation of cosine and sine graphs |
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Objective: Basic Graphs |
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Objective: Transformations of the graphs of the Trigonometric Functions |
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Objective: The Unit Circle: Cosine and Sine (Section 10.2) |
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Objective: The Six Circular Functions and Fundamental Identities (Sectioni 10.3) |
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Objective: Graphs of functions (Section 1.6) |
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Objective: Transformations of graphs (Section 1.7) |
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Objective: Inverse Circular Functions |
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Objective: Inverse functions |
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Objective: The Unit Circle: Cosine and Sine (Section 10.2) |
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Objective: The Six Circular Functions and Fundamental Identities (Section 10.3) |
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Objective: Graphs of the Trigonometric Functions (Section 10.5) |
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Objective: Solving basic equations |
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Objective: Solving equations which are quadratic in form using identities |
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Objective: Solving equations using the double angle formula |
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Objective: A mix of more advanced techniques |
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Objective: The Six Circular Functions and Fundamental Identities (Section 10.3) |
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Objective: Trigonometric Identities (Section 10.4) |
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Objective: Factoring |
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Objective: Sign diagrams |