Complex numbers

Descripción

Year 13 Mathematics Fichas sobre Complex numbers, creado por Dominique TREMULOT el 24/08/2023.
Dominique TREMULOT
Fichas por Dominique TREMULOT, actualizado hace 9 meses
Dominique TREMULOT
Creado por Dominique TREMULOT hace 9 meses
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Resumen del Recurso

Pregunta Respuesta
The magnitude The absolute value
The unit circle Le cercle unité le cercle trigonométrique
A complex number Un nombre complexe
The real part of \(z\) La partie réelle de \(z\)
The imaginary [ɪˈmædʒɪnəri] part of \(z\) La partie imaginaire de \(z\)
The set of real numbers is a subset of the set of complex numbers \(\mathbb{R}\subset \mathbb{C}\)
The Argand diagram Invented by Jean-Robert Argand (1768-1822) is used to represent numbers on the complex plane
The modulus /ˈmɒdjələs/ of a complex number \(z\) The distance from the origin to the complex number on the Argand diagram
The conjugate /ˈkɒndʒəɡeɪt/ of a complex number Its reflexion in the real axis
A polar /ˈpəʊlə(r)/ form of a complex number \(z=x+y\text{i}\) \(z=r\left[\cos(\theta)+\text{i}\sin(\theta)\right]\) where \(r=|z|=\sqrt{x^2+y^2}\) and \(\theta\) is an argument /ˈɑːɡjumənt/ of \(z\)
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