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Trig Identities & Equations

 Essential question: How can we use and solve trig functions to predict future outcomes?Trig Identities 1)  Simplify Simple Trig Expressions Using Trig Identities (with reciprocal, quotient, and simple Pythagorean Identities) Explanation: Notes | Annotated All of the trig identities and equationsKhan video: Pythagorean trig identity from soh cah toa (proof, not an example of how to use the identity, using a right triangle on a plane)Khan video: Pythagorean trig identity from unit circle (proof, not an example, of how to use the identity, using the unit circle)Khan article: Pythagorean identity review Practice: 2) Simplify Advanced Trig Expressions Using Pythagorean Identities Explanation:  Practice: Solve Trigonometric Equations 3) Solve Trig Equations with One Trig Ratio Using the Unit Circle (exact answers) Explanation: Notes | AnnotatedKhan video: Example: Graph of cosineKhan video: Symmetry of trig values Practice Problems: 4) Solve trig equations with one trig ratio by using a calculator (all solutions on an interval) Explanation: NotesKhan video: Solution set to sin equation Practice Problems:Worksheet #1 | AnswersWorksheet #2 | Answers (all degrees)Worksheet #3 | Answers (all radians)Khan Exercise: Evaluating inverse trig functions 5) Word Problems with trig equations Explanation: Practice Problems: Khan Exercise: Inverse trig word problems Word Problems (period 6 only)Word Problems Exact Answers Worksheet (A calculator is not allowed on this section so use the unit circle.)Word Problems Approximate Answers Worksheet (A calculator is allowed.) 6) Solve trig equations with more than one trig ratio (by factoring) Explanation: Notes | Annotated Practice Problems: 7) Solve trig equations by substituting identities and special case scenarios Explanation: Notes | AnnotatedKhan video: Example: Intersection of sine and cosine Practice Problems: Worksheet #1 | Answers 8)  Solve trig equations with more than one trig ratio (by graphing) Explanation: Notes Practice Problems: Worksheet 9)  Composite Functions with Trig WS  10) Review Explanation: Summary Notes | AnnotatedPractice Problems:
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