Complex Numbers: Trigonometric Formulas

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Related lectures (29)

Absolute Value and Complex Numbers

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

Complex Numbers: Properties and Operations

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

Complex Hyperbolic and Trigonometric Functions

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

Euler's Formula Demonstration

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

Complex Numbers: Exponential Formulas

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

Complex Numbers: Polar Form, Powers, Roots

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

Complex Numbers: Introduction and Operations

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

Complex Numbers: Imaginary Part

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

Complex Numbers: Polar Form

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

Complex Numbers: Representations and Rotations

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

Harmonic Oscillator: Complex Numbers and Solutions

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

Complex Logarithm: Extension and Polar Form

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

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Examples: Complex Numbers

Covers examples related to complex numbers and their properties.

Complex Numbers: Roots and Equations

Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.

Complex Numbers: Representation and Properties

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.

Complex Numbers: Definitions and Applications

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Complex Numbers: Properties and Applications

Explores properties and applications of complex numbers, including De Moivre's theorem and finding complex roots.

Complex Exponential: Properties and Formulas

Delves into complex exponential functions, their properties, and polar representation of complex numbers.

Complex Numbers: Operations and Properties

Explores complex numbers, including modulus, conjugation, and Euler formula.

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