Trigonometry and Measure of Angles

Trigonometry and Measure of Angles

Eddie Woo via YouTube Direct link

Introduction to Radians (3 of 3: Formal definition & conversion)

39 of 63

39 of 63

Introduction to Radians (3 of 3: Formal definition & conversion)

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Classroom Contents

Trigonometry and Measure of Angles

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  1. 1 Exact Values for Trigonometric Ratios
  2. 2 Why Degrees?
  3. 3 Why is Trigonometry so important?
  4. 4 Manipulating the Trig Ratios in Geometry (example question)
  5. 5 The Basic Trig Ratios & their Reciprocals
  6. 6 Why are Sine & Cosine given their names?
  7. 7 Redefining the Trig Functions on the Unit Circle (1 of 2: The Basic Concept)
  8. 8 Redefining the Trig Functions on the Unit Circle (2 of 2: Understanding Non-Acute Angles)
  9. 9 How to Graph Trigonometric Functions (1 of 2: Sine)
  10. 10 How to Graph Trigonometric Functions (2 of 2: Cosine & Tangent)
  11. 11 Reading Values from Trigonometric Graphs
  12. 12 Odd & Even Functions (1 of 2: Introductory Examples)
  13. 13 Odd & Even Functions (2 of 2: Relevance to Trigonometry)
  14. 14 Cosine Rule: An Upgrade to Pythagoras' Theorem
  15. 15 Sine Rule: The Ambiguous Case
  16. 16 Why the Sine Rule Works (1 of 3: Acute Angles)
  17. 17 Why the Sine Rule Works (2 of 3: Right Angles)
  18. 18 Why the Sine Rule Works (3 of 3: Obtuse Angles)
  19. 19 3D Trigonometry: a notorious question (1 of 2: Setting up the diagrams)
  20. 20 3D Trigonometry: a notorious question (2 of 2: Working the numbers)
  21. 21 The Lighthouse (Challenging 3D Trig Question)
  22. 22 Introduction to Radians (1 of 3: Thinking about degrees)
  23. 23 Introduction to Radians (2 of 3: Defining a better way)
  24. 24 Introduction to Radians (3 of 3: Definition + Why Radians Aren't Units)
  25. 25 Radian Measure (1 of 4: The worth of Radians in Circles & Calculus)
  26. 26 Radian Measure (2 of 4: Finding ratio between arc length and radius - Why use 'pi'?)
  27. 27 Radian Measure (3 of 4: Finding the formula for the area of a sector in radians)
  28. 28 Radian Measure (4 of 4: Solving Trigonometry with Radians and advantages for calculus)
  29. 29 Circles and Radian Measure (Using Area of Triangle and Sector to find the Area of a Segment)
  30. 30 Trigonometric Functions: Angles of Any Magnitude (1 of 2: The unit circle)
  31. 31 Trigonometric Functions: Angles of Any Magnitude (2 of 2: Obtuse & reflex angles)
  32. 32 Meanings of the Trigonometric Ratios (1 of 4: Re-introducing the Unit Circle)
  33. 33 Meanings of the Trigonometric Ratios (2 of 4: Why is one of them called "tangent"?)
  34. 34 Meanings of the Trigonometric Ratios (3 of 4: Why is one of them called "secant"?)
  35. 35 Meanings of the Trigonometric Ratios (4 of 4: Dynamic visualisation)
  36. 36 Y11 Maths Ext 1 Quiz (3 of 3: Graphs of Trig Functions)
  37. 37 Introduction to Radians (1 of 3: Comparing measurement systems)
  38. 38 Introduction to Radians (2 of 3: Developing an initial sense)
  39. 39 Introduction to Radians (3 of 3: Formal definition & conversion)
  40. 40 Exact Values (1 of 4: Radians vs. Degrees)
  41. 41 Exact Values (2 of 4: Solving a basic trigonometric equation)
  42. 42 Exact Values (3 of 4: Using the unit circle for trigonometry)
  43. 43 Exact Values (4 of 4: Why "tan" is short for "tangent")
  44. 44 Graphs of Basic Trigonometric Functions (1 of 3: Investigating the unit circle with spaghetti)
  45. 45 Graphs of Basic Trigonometric Functions (2 of 3: The features of trigonometric curves)
  46. 46 Graphs of Basic Trigonometric Functions (3 of 3: Graphing examples)
  47. 47 3D Trigonometry Example (1 of 2: Setting up the triangles)
  48. 48 3D Trigonometry Example (2 of 2: Combining the information)
  49. 49 3D Trig Three Observer Problem (1 of 4: Setting up the diagram)
  50. 50 3D Trig Three Observer Problem (2 of 4: Determining ground distances)
  51. 51 3D Trig Three Observer Problem (3 of 4: Calculating ground angles)
  52. 52 3D Trig Three Observer Problem (4 of 4: Resolving the ambiguous case)
  53. 53 Circular Measure: Arc Length, Sector & Segment Area Formulas
  54. 54 Sine Rule - example test question
  55. 55 Cosine Rule - example test question
  56. 56 Dartboard Question (1 of 2: Area)
  57. 57 Dartboard Question (2 of 2: Percentage & perimeter)
  58. 58 Measuring a Wedge
  59. 59 Trigonometry in Right Triangles (5 of 5: Applied problems)
  60. 60 Trigonometry in Right Triangles (4 of 5: Exact values & reciprocals)
  61. 61 Trigonometry in Right Triangles (3 of 5: Finding an angle)
  62. 62 Trigonometry in Right Triangles (2 of 5: Evaluating ratios & angles)
  63. 63 Trigonometry in Right Triangles (1 of 5: Reviewing the ratios)

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