Trigonometry and PreCalculus (Video) by PatrickJMT

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Overview

Patrick JMT has been teaching mathematics at the college level for 8 years and has taught at both Vanderbuilt University and at the University of Louisville. This course uses 277 video lessons to guides students step-by-step through the fundamentals of trigonometry and pre-calculus.

Topics Covered

Topics and concepts covered in Trigonometry and PreCalculus (Video) by PatrickJMT

  1. Finding the Quadrant in Which an Angle Lies
  2. Finding Coterminal Angles
  3. Finding the Complement and Supplement of An Angle
  4. Converting Between Degrees and Radians
  5. Using the Arc Length Formula
  6. An Introduction to the Trigonometric Functions
  7. Evaluating Trigonometric Functions for an Angle in a Right Triangle
  8. Finding an Angle Given the Value of a Trigonometric Function
  9. Using Trigonometric Functions to Find Unknown Sides of Right Triangles
  10. Finding the Height of a Building (Or Some Other Object)
  11. Graph Theory
  12. Evaluating Trigonometric Functions for an Angle in the Coordinate Plane
  13. Evaluating Trigonometric Functions Using the Reference Angle
  14. Finding the Value of Trigonometric Functions Given Information About the Values of Other Trigonometric Functions
  15. Trigonometric Functions of Important Angles
  16. An Introduction to the Graphs of Sine and Cosine Functions
  17. Euler Circuits
  18. Graphing Sine or Cosine Functions with Different Coefficients
  19. Finding Maximum and Minimum Values and Zeros of Sine and Cosine
  20. Solving Word Problems Involving Sine or Cosine Functions
  21. Graphing Sine and Cosine Functions with Phase Shifts
  22. Fancy Graphing: Changes in Period, Amplitude, Vertical Shift and Phase
  23. Graphing the Tangent, Secant, Cosecant, and Contangent Functions
  24. Fancy Graphing: Tangent, Cotangent, Secant, Cosecant
  25. Identifying a Trigonometric Function from its Graph
  26. An Introduction to Inverse Trigonometric Functions
  27. Evaluating Inverse Trigonometric Functions
  28. Solving an Equation Involving an Inverse Trigonometric Function
  29. Evaluating the Composition of a Trigonometric Function and its Inverse
  30. Evaluating Inverse Trigonometric Functions
  31. Applying Trigonometric Functions
  32. Fundamental Trigonometric Identities
  33. Finding All Function Values
  34. Simplifying a Trigonometric Expression Using Trigonometric Identities
  35. Simplifying Trigonometric Expressions Involving Fractions
  36. Simplifying Products of Binomials Involving Trigonometric Functions
  37. Factoring Trigonometric Expressions
  38. Determining Whether a Trigonometric Function is Odd, Even, or Neither
  39. Proving an Identity
  40. Proving an Identity: Other Examples
  41. Solving Trigonometric Equations
  42. Solving Trigonometric Equations by Factoring
  43. Solving Trigonometric Equations with Coefficients in the Argument
  44. Solving Trigonometric Equations using the Quadratic Formula
  45. Solving Word Problems Involving Trigonometric Equations
  46. Identities for Sums and Differences of Angles
  47. Using Sum and Difference Identities
  48. Using Sum and Difference Identities to Simplify an Expression
  49. Confirming a Double-Angle Identity
  50. Using Double-Angle Identities
  51. Solving Word Problems Involving Multiple-Angle Identities
  52. Using a Cofunction Identity
  53. Using a Power Reducing Identity
  54. Using Half-Angle Identities to Solve a Trigonometric Equation
  55. The Law of Sines
  56. Solving a Triangle Given Two Sides and One Angle: SAS
  57. Solving a Triangle Using 'SAS': Another Example
  58. The Law of Sines: An Application
  59. Heron's Formula
  60. The Law of Cosines
  61. The Law of Cosines (SSS)
  62. The Law of Cosines (SAS): An Application
  63. An Introduction to Vectors
  64. Finding the Magnitude and Direction of a Vector
  65. Vector Addition and Scalar Multiplication
  66. Finding the Components of a Vector
  67. Finding a Unit Vector
  68. Solving Word Problems Involving Velocity or Forces
  69. Graphing a Complex Number and Finding its Absolute Value
  70. Expressing a Complex Number in Trigonometric or Polar Form
  71. Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form
  72. Using Demoivre's Theorem to Raise a Complex Number to a Power
  73. Roots of Complex Numbers
  74. More Roots of Complex Numbers
  75. Roots of Unity
  76. An Introduction to Polar Coordinates
  77. Converting Between Polar and Rectangular Coordinates
  78. Converting Between Polar and Rectangular Equations
  79. Graphing Simple Polar Equations
  80. Graphing Special Polar Equations

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