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Inverse Trigonometric Functions

Inverse Trigonometric Functions

Eddie Woo via YouTube Direct link

Graphing y = cos¯¹(cos x)

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Graphing y = cos¯¹(cos x)

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Classroom Contents

Inverse Trigonometric Functions

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  1. 1 Introduction to Inverse Trig Functions (1 of 2): Why a whole new topic?
  2. 2 Introduction to Inverse Trig Functions (2 of 2): Reviewing Functions & Relations
  3. 3 Related Rates - Boat w/ Inverse Trig
  4. 4 Derivatives of Inverse Trigonometric Functions
  5. 5 Areas Involving Inverse Trig Functions
  6. 6 Evaluating Multiple Inverse Trig Functions
  7. 7 Inverse Trigonometric Functions: sin¯¹(x) & cos¯¹(x)
  8. 8 Inverse Trigonometric Functions: tan¯¹(x)
  9. 9 Graphing y = cos¯¹(cos x)
  10. 10 Graphing y = sin[sin¯¹(x)]
  11. 11 Graphing y = sin¯¹(sin x)
  12. 12 Graphing y = tan¯¹(tan x)
  13. 13 Evaluating Trig & Inv Trig Ratios (1 of 2)
  14. 14 Evaluating Trig & Inv Trig Ratios (2 of 2)
  15. 15 Differentiating sin¯¹(x) & cos¯¹(x)
  16. 16 Differentiating tan¯¹(x)
  17. 17 Inverse Trig + Trig Expansions: With Algebraic Terms
  18. 18 Inverse Trig + Trig Expansions: With Values
  19. 19 Inverse Trig Derivatives & Integrals (Summary)
  20. 20 Differentiating Inverse Trig Functions w/ Chain Rule (1 of 3)
  21. 21 Differentiating Inverse Trig Functions w/ Chain Rule (2 of 3)
  22. 22 Differentiating Inverse Trig Functions w/ Chain Rule (3 of 3)
  23. 23 Max/Min Question w/ Inverse Trig
  24. 24 Indefinite Integrals of Inverse Trig Functions (1 of 2)
  25. 25 Indefinite Integrals of Inverse Trig Functions (2 of 2)
  26. 26 Graphing Inverse Trig Functions (1 of 2)
  27. 27 Graphing Inverse Trig Functions (2 of 2)
  28. 28 Tricky Inverse Trig Integral: The Easy Way
  29. 29 Tricky Inverse Trig Integral: The Hard Way
  30. 30 Inverse Trig Function w/ Complicated Argument
  31. 31 Introduction to Inverse Functions (warning: out of focus)
  32. 32 Considering Inverse Trigonometric Expressions as Angles in Triangles
  33. 33 Does sin¯¹(sin x) = x?
  34. 34 Forming Inverse Functions by Restricting Domain
  35. 35 Geometric Properties of Inverse Functions
  36. 36 Graphing Functions & Their Inverses
  37. 37 Restricting the Domain of cos x
  38. 38 Tricky Inverse Trigonometric Expression Question
  39. 39 Graphical & Analytical Approach to sin¯¹(sin x)
  40. 40 Differentiating sin inverse x by Considering Domain
  41. 41 Functions, Domains and Fussy Eaters
  42. 42 Further Thoughts on the Derivatives of Inverse Trigonometric Functions
  43. 43 Interpreting sin¯¹(cos x)
  44. 44 Integrals Involving Inverse Trigonometric Functions & Reverse Chain Rule
  45. 45 Standard Integrals Involving Inverse Trigonometric Functions
  46. 46 How to Approach Areas Under Inverse Trig. Functions (1 of 2)
  47. 47 How to Approach Areas Under Inverse Trig. Functions (2 of 2)
  48. 48 Inverse Tan Identity Question (1 of 3): Complementary Identity
  49. 49 Inverse Tan Identity Question (2 of 3): Addressing the Restrictions
  50. 50 Inverse Tan Identity Question (3 of 3): Combining Terms & Graphing
  51. 51 Modified Inverse Trig Graph: Determine Features & Evaluate Area
  52. 52 Evaluating Trig Ratio of Inverse Trig Expression
  53. 53 Exam Problem: Inverse Trig Identity
  54. 54 Integration of Trigonometric Functions (1 of 3: Introduction to uses and some examples)
  55. 55 Integration of Trigonometric Functions (2 of 3: Manipulating the function to simplify integral)
  56. 56 Integration of Trigonometric Functions (3 of 3: Using Trig Identities to evaluate cos^2(x))
  57. 57 Properties of Inverse Functions (1 of 3: If f(x) is increasing, f¯¹(x) is also increasing)
  58. 58 Inverse Trigonometric Functions (1 of 4: Choosing a Domain for the Inverse of sine)
  59. 59 Inverse Trigonometric Functions (2 of 4: Justifying the Choice of Domain)
  60. 60 Properties of Inverse Functions (2 of 3: Relationship of derivatives of the original and inverse)
  61. 61 Properties of Inverse Functions (3 of 3: Relationship between inverse and original symmetry)
  62. 62 Graphs of the Inverse Trig Functions (1 of 3: Reviewing the domain, range and shape)
  63. 63 Inverse Trigonometric Functions (3 of 4: Determining the domain of cos¯¹x and tan¯¹x)
  64. 64 Inverse Trigonometric Functions (4 of 4: Graphing the Shape of the inverse Trig Functions)
  65. 65 Graphs of the Inverse Trig Functions (2 of 3: Transformations of the basic inverse trig functions)
  66. 66 Graphs of the Inverse Trig Functions (3 of 3: WARNING - Shifting and transforming the WRONG way)
  67. 67 Properties of Graphs of I.T.Fs (1 of 3: Graphically and Algebraically Solving sin¯¹x + cos¯¹x = ?)
  68. 68 Properties of Graphs of I.T.Fs (2 of 3: Finding the solution to the compound function of arc(trig)x)
  69. 69 Properties of Graphs of I.T.Fs (3 of 3: Showing the Relationship between original & Compound)
  70. 70 Combining Trigonometric & Inverse Trigonometric Functions
  71. 71 Graphs of Inverse Trigonometric Functions (1 of 2: Thinking through domain & range)
  72. 72 Graphs of Inverse Trigonometric Functions (2 of 2: Considering shifts through domain)

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