Lectures related to Complex Numbers: Polar Form, Powers, Roots

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

Covers the introduction and operations of complex numbers in physics and engineering applications.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

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

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

Explores the representation and rotation of complex numbers in the complex plane.

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

Covers the extension of the logarithm to complex numbers and explores the relationship with trigonometric functions.

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

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

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

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

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

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

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

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

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

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

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

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