Equations and Applications of Sine Waves |
1 | Simple Trigonometric Equations
Objective: To solve simple trigonometric equations and to apply them.
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2 | Sine and Cosine Curves
Objective: To find equations of different sine and cosine curves and to apply these equations.
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3 | Modeling Periodic Behavior
Objective: To use trigonometric functions to model periodic behavior.
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Identities and Equations |
4 | Relationships Among the Functions
Objective: To simplify trigonometric expressions and to prove trigonometric identities.
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5 | Solving More Difficult Trigonometric Equations
Objective: To use trigonometric identities or technology to solve more difficult trigonometric equations.
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Essential Questions |
| What approaches can be used to verify an identity? |
| What is the best approach that can be used to verify an identity? |
Key Concepts |
Concept:1. | amplitude |
Concept:2. | axis |
Concept:3. | cofunctions |
Concept:4. | conic section |
Concept:5. | direction angle |
Concept:6. | frequency |
Concept:7. | horizontal shift, vertical shift |
Concept:8. | inclination of a line |
Concept:9. | period of a function, periodic behavior |
Concept:10. | pythagorean relationships |
Concept:11. | trigonometric equations |
Concept:12. | trigonometric identities |
Content Covered |
Text Books
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Online Resources |
Analytic Trigonometry
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Summary and Reminders |
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Student Handouts/Resources |
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