This course provides an introduction to the fundamental concepts of trigonometry. Students will explore the relationships between angles and sides of triangles, trigonometric functions, and their applications in real-world scenarios. Emphasis will be placed on problem-solving and practical applications in fields such as physics, engineering, and astronomy.

Course Structure:

1. Module 1: Introduction to Trigonometry
   • Basic trigonometric concepts
   • Trigonometric ratios in right triangles
   • Angle measurement
2. Module 2: Trigonometric Functions
   • Definitions of sine, cosine, and tangent
   • Graphs of trigonometric functions
   • Periodicity and amplitude
3. Module 3: Trigonometric Identities and Equations
   • Pythagorean identities
   • Sum and difference identities
   • Solving trigonometric equations
4. Module 4: Applications of Trigonometry
   • Angles of elevation and depression
   • Trigonometry in navigation and engineering
   • Simple harmonic motion