Lectures related to Trigonometry: Angle Transformation and Trigonometric Functions

Explores trigonometric addition theorem, double angles, and tangent properties.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

Explores the rotation of vectors in a plane using trigonometric functions.

Covers the definitions and properties of arcsin and arccos functions.

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Covers the definition of sine and cosine functions, their graphs, and notable points.

Covers the resolution of trigonometric equations, focusing on elementary solutions.

Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

Explores the cosine theorem in triangles, analyzing side and angle relationships.

Introduces the basics of solving trigonometric equations through examples and various techniques.

Covers Fourier series for periodic functions and calculations involving Fourier coefficients.

Explains surjectivity, injectivity, and bijectivity in functions, including trigonometric examples.

Covers the concept of limits of trigonometric functions, focusing on the sine function and rational functions.