Lectures related to Symmetries of Trigonometric Functions

Triangle Resolution: Trigonometric Functions

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

Trigonometric Equations: Sinus and Cosinus

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

Derivatives of Trigonometric Inverse Functions

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

Trigonometric Formulas: Addition Theorem

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

Cosine Theorem

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

Trigonometric Functions: Right Triangle

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

Harmonic Oscillations: Superposition

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

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Trigonometric Equations: Basics

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

Trigonometric Functions: Tangent and Cotangent

Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.

Continuity of Trigonometric Functions

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

Trigonometric Circle: Interpretation and Applications

Explores the interpretation of angles on the trigonometric circle and its applications in circular motion.

Trigonometric Equations: Tangent and Cotangent

Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.

Trigonometric Formulas: Bisection & Transformations

Covers trigonometric bisection formulas and transformations between sums and products.

Trigonometric Functions: Basics and Applications

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

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Harmonic Oscillations: Definition

Covers the definition and properties of harmonic oscillations in the context of uniform circular motion projections.

Trigonometric Formulas

Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.

Rotation of a Vector

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

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.