Course Description: This course will involve a combination of theoretical concepts and problem-solving, with a strong emphasis on mathematical reasoning and proof. The following concepts will be covered:

• Basic trigonometric functions (sine, cosine, tangent) and their properties

• The unit circle and its relationship to trigonometric functions

• Solving trigonometric equations and identities

• Application of trigonometry in real-world problems, such as wave motion, navigation, and physics

• Inverse trigonometric functions and their properties

• Applications of inverse trigonometric functions

• Introduction to complex numbers

• Polar coordinates and their relationship to the Cartesian coordinate system

• Vectors and vector operations