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How are fundamental trigonometric identities used to simplify trigonometric expressions and prove identites?
How are standard algebraic techniques and inverse trigonometric functions useful to solving trigonometric equations?
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Student Learning Map
- Topic:Analytic Trigonometry
- Subject(s):Math
- Days:15
- Grade(s):11, 12
Key Learning:
Demonstrate an understanding of trigonometric identities.
Solve a variety of trigonometric equations.
Unit Essential Question(s):
Lesson Essential Question(s):How are cofunctions and even/odd identities useful in simplifying trigonometric expressions? (A)How are cofunctions and even/odd identities useful in simplifying trigonometric expressions? (ET)How are trigonometric equations proved to be identities? (A)How are trigonometric equations proved to be identities? (ET)How are fundamental identities used to simplify trigonometric expressions? (A)How are fundamental identities used to simplify trigonometric expressions? (ET)Lesson Essential Question(s):How are algebraic techniques with fundamental identities used to verify identities? (ET)Lesson Essential Question(s):How are standard algebraic techniques used to solve trigonometric equations? (ET)How are fundamental identities used to solve trigonometric equations? (ET)Why is it necessary to use inverse trigonometric functions to solve some trigonometric equations? (A)Why is it necessary to use inverse trigonometric functions to solve some trigonometric equations? (ET)Concept: ___OBJECTIVES___6___Lesson Essential Question(s):When are the sum and difference formulas needed to evaluate trigonometric functions? (A)How are the sum and difference formulas used to verify trigonometric identities? (ET)Lesson Essential Question(s):When are the double and half-angle formulas needed to evaluate trigonometric functions? (A)How are the double and half-angle formulas used to verify trigonometric identities? (ET)Lesson Essential Question(s):Vocabulary:
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Extended Thinking Lesson(s):
1. How are cofunctions and even/odd identities useful in simplifying trigonometric expressions?2. How are algebraic techniques with fundamental identities used to verify identities?3. How are standard algebraic techniques used to solve trigonometric equations?4. How are trigonometric equations proved to be identities?5. How are fundamental identities used to simplify trigonometric expressions?6. How are fundamental identities used to solve trigonometric equations?7. Why is it necessary to use inverse trigonometric functions to solve some trigonometric equations?8. How are the sum and difference formulas used to verify trigonometric identities?9. How are the double and half-angle formulas used to verify trigonometric identities?