Complex Hyperbolic and Trigonometric Functions

Related lectures (30)

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

Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.

Explores complex numbers, trigonometric functions, De Moivre's formulas, and complex plane representation.

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

Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

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

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

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

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

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

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

Demonstrates how to determine the imaginary part of a complex number.

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

Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.

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

Covers the demonstration of Euler's formula and its applications.

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

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

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

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