Lectures related to Hyperbolic Functions

Symmetries of Trigonometric Functions

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

Trigonometric Equations: Sinus and Cosinus

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

Real Functions of a Real Variable

Covers the terminology and conventions of real functions of a real variable.

Trigonometric Functions: Basics and Applications

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

Derivatives of Trigonometric Inverse Functions

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

Hyperbolic Functions

Covers hyperbolic functions, including definitions, properties, and derivatives, explained with detailed examples and derivations.

Complex Hyperbolic and Trigonometric Functions

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

Triangle Resolution: Trigonometric Functions

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

Trigonometric Formulas: Addition Theorem

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

Hyperbolic Functions

Explores hyperbolic functions, their properties, and derivatives, including tanh(x) and arctanh(x).

Real Functions: Definitions and Properties

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

Reciprocal Trigonometric Functions

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

Cosine Theorem

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

Periodic Functions: Limits and Compositions

Explores periodic functions, limits, compositions, and properties of even and odd functions.

Continuity of Trigonometric Functions

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

Parametrized Curves in 2D: Examples and Properties

Explores parametrized curves in 2D, including segments, straight lines, and circles with trigonometric functions.

Trigonometric, Logarithmic and Exponential Functions: Teaser

Explores fundamental special functions with applications in various fields.

Algebraic Identities and Trigonometry

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Trigonometric Formulas: Limits and Functions

Explores trigonometric formulas for limits and functions with practical examples.