Trigonometric Functions and Identities

Trigonometric Functions and Identities

Eddie Woo via YouTube Direct link

Trigonometric Identity Proofs (2 of 2: Problem types & techniques)

40 of 50

40 of 50

Trigonometric Identity Proofs (2 of 2: Problem types & techniques)

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Classroom Contents

Trigonometric Functions and Identities

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  1. 1 Trig Expansions - Basic Results (1 of 2)
  2. 2 Solving Trigonometric Equations (1 of 2)
  3. 3 Solving Trigonometric Equations (2 of 2)
  4. 4 Trig Expansions - Basic Results (2 of 2)
  5. 5 Trig Expansions Question: Better Approach
  6. 6 Trig Expansions Question: Flawed Approach
  7. 7 Half-Angle Results
  8. 8 Proving Simple Trigonometric Identities
  9. 9 Solving Simple Trigonometric Equations
  10. 10 Tricky Trigonometric Equation - Solving w/ Expansions
  11. 11 Graphing Reciprocal Trigonometric Functions (1 of 2: Cosecant)
  12. 12 Graphing Reciprocal Trigonometric Functions (2 of 2: Cotangent)
  13. 13 Determining Trigonometric Functions from other Function Values (1 of 3: Introductory Explanation)
  14. 14 Determining Trigonometric Functions from other Function Values (2 of 3: Further Examples)
  15. 15 Determining Trigonometric Functions from other Function Values (3 of 3: Algebraic Example)
  16. 16 Trigonometric Identities & the Magic Hexagon (1 of 2: Reciprocals and Quotients)
  17. 17 Trigonometric Identities & the Magic Hexagon (2 of 2: Even More Relationships!)
  18. 18 Expressions vs. Equations vs. Identities
  19. 19 How to Prove Trigonometric Identities (and how not to)
  20. 20 Proving a Trigonometric Identity where both sides seem simplified
  21. 21 Solving Trigonometric Equations (1 of 4: Simplest Example)
  22. 22 Solving Trigonometric Equations (2 of 4: Negative & Unusual Domains)
  23. 23 Solving Trigonometric Equations (3 of 4: Squared Functions)
  24. 24 Solving Trigonometric Equations (4 of 4: Adjusted Frequency & Phase)
  25. 25 Harder Trigonometric Equations (1 of 3: Equations Reducible to Quadratics)
  26. 26 Harder Trigonometric Equations (2 of 3: Messy Solutions)
  27. 27 Harder Trigonometric Equations (3 of 3: Pairing, Dividing by Cosine, and a Trap)
  28. 28 Preliminary Extension 1 Assorted Quiz (#4: More Trig Identities)
  29. 29 Trigonometric Identities & Sneaky Absolute Values
  30. 30 Angle Sum Identities (Reviewing the Data Sheet and deriving other useful identities from given ones)
  31. 31 Solving Trigonometric Equations (1 of 5: Overview)
  32. 32 Solving Trigonometric Equations (2 of 5: Using quadrants)
  33. 33 Solving Trigonometric Equations (3 of 5: Using the unit circle)
  34. 34 Solving Trigonometric Equations (4 of 5: Using graphs)
  35. 35 Solving Trigonometric Equations (5 of 5: Expanding on the graphing method)
  36. 36 Trigonometric Identities (1 of 3: Reciprocals, Ratios & Complements)
  37. 37 Trigonometric Identities (2 of 3: Pythagorean Relationships)
  38. 38 Trigonometric Identities (3 of 3: Example proofs)
  39. 39 Trigonometric Identity Proofs (1 of 2: Overall strategies)
  40. 40 Trigonometric Identity Proofs (2 of 2: Problem types & techniques)
  41. 41 Harder Trigonometric Equations (1 of 3: Introductory examples)
  42. 42 Harder Trigonometric Equations (2 of 3: Modified Trig Functions)
  43. 43 Harder Trigonometric Equations (3 of 3: Trig Identities)
  44. 44 Y11 Maths Ext 1 Quiz (1 of 3: Trigonometric Exact Values, Trig Equations)
  45. 45 Find tan(θ-180°) given 3cosθ+2=0
  46. 46 Equation Reducible to a Quadratic (Trigonometric Substitution)
  47. 47 Introduction to Trigonometric Expansions (1 of 3: Why do they matter?)
  48. 48 Introduction to Trigonometric Expansions (2 of 3: How do we derive them?)
  49. 49 Introduction to Trigonometric Expansions (3 of 3: Using them to prove identities)
  50. 50 Trigonometric Identity Proof - example test question

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