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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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