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Math 175: Plane Trigonometry

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Math 175: Plane Trigonometry

This course is designed for students who are majoring in math, science, and engineering. This course equips students with the skills necessary for success in pre-calculus. It presents the concepts of plane trigonometry using a functions approach. Included is a study of basic relations, functions, and transformations, as well as circular functions, trigonometric functions of angles, identities, inverse functions and their equations and solutions of triangles.

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Mục lục· 39 mục
  1. 01: Right Triangles and an Introduction to Trigonometry
  2. 1.01: The Pythagorean Theorem
  3. 1.02: Special Right Triangles
  4. 1.03: Basic Trigonometric Functions
  5. 1.04: Solving Right Triangles
  6. 1.05: Measuring Rotation
  7. 1.06: Applying Trigonometric Functions to Angles of Rotation
  8. 1.07: Trigonometric Functions of Any Angle
  9. 1.08: Relating Trigonometric Functions
  10. 02: Graphing Trigonometric Functions
  11. 2.01: Radian Measure
  12. 2.02: Applications of Radian Measure
  13. 2.03: Basic Trigonometric Graphs
  14. 2.04: Transformations Sine and Cosine Functions
  15. 2.05: Graphing Tangent Cotangent Secant and Cosecant
  16. 03: Trigonometric Identities and Equations
  17. 3.01: Fundamental Identities
  18. 3.02: Proving Identities
  19. 3.03: Solving Trigonometric Equations
  20. 3.04: Sum and Difference Identities
  21. 3.05: Double Angle Identities
  22. 3.06: Half Angle Identities
  23. 3.07: Exercises - Double Angle Half-Angle and Power Reductions
  24. 04: Inverse Trigonometric Functions
  25. 4.01: Basic Inverse Trigonometric Functions
  26. 4.02: Graphing Inverse Trigonometric Functions
  27. 4.03: Inverse Trigonometric Properties
  28. 4.04: Applications
  29. 05: Triangles and Vectors
  30. 5.01: Non-right Triangles - Law of Cosines
  31. 5.02: Area of a Triangle
  32. 5.03: Non-right Triangles - Law of Sines
  33. 5.04: Vectors
  34. 06: The Polar System
  35. 6.01: Polar Coordinates
  36. 6.02: Graphing Basic Polar Equations
  37. 6.03: Converting Between Systems
  38. 6.04: The Polar Form of Complex Numbers
  39. 6.05: De Moivre's and the nth Root Theorem