Trigonometry Explained: A Practical Approach to Mathematical Problem Solving

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About Course

This course provides a comprehensive introduction to the principles and applications of trigonometry. Students will explore the fundamental concepts of angles, trigonometric functions, and their relationships, with a focus on practical applications in mathematics and other disciplines.


What Will You Learn?

  • Introduction to Angles and Measurement
  • Trigonometric Ratios: Sine, Cosine, Tangent
  • Graphs of Trigonometric Functions
  • Inverse Trigonometric Functions
  • Trigonometric Identities: Pythagorean and Beyond
  • Sum and Difference Formulas
  • Applications of Right Triangle Trigonometry
  • Law of Sines and Law of Cosines
  • Polar Coordinates and Complex Numbers
  • Vectors and Trigonometry
  • Derivatives of Trigonometric Functions
  • Integration of Trigonometric Functions
  • Trigonometry in 3D: Spherical Coordinates
  • Applications in Physics and Engineering
  • Advanced Topics: Fourier Series and Transformations

Course Content

Introduction to Trigonometry

  • Understanding Angles
  • Trigonometric Ratios

Trigonometric Functions and Graphs

Trigonometric Identities

Applications of Trigonometry

Advanced Topics in Trigonometry

Calculus and Trigonometry

Practical Problem Solving

Mastery and Review

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