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Exponentiation and roots of complex numbers in trigonometric form (Moivre's formula)

You'll learn trigonometric form of complex numbers and calculation of powers and roots using this new approach.

Exponentiation and roots of complex numbers in trigonometric form (Moivre's formu ...

Definition of complex numbers

You'll learn the concept of complex number as square roots of negative numbers.You will also learn Its binomials and operations pertaining to them, as well as how to represent the complex numbers ...

Trigonometric Form of Complex Numbers

"A convenient form for numbers in the complex plane, other than rectangular form, is the trigonometric form of complex numbers. The trigonometric form of complex numbers uses the modulus and an angle ...

Dividing Complex Numbers

"Fractions with negative roots in the denominator or with i in the denominator must be rationalized (since i represents a square root). When dividing complex numbers with negative roots, simplify in t ...

DeMoivre's Theorem

"We know how to multiply complex numbers, but raising complex numbers to a high integer power would involve a lot of computation. Fortunately we have DeMoivre's Theorem, which gives us a more simple s ...

Converting Complex Numbers from Trigonometric Form to Rectangular

"Both the trigonometric form and the rectangular form are useful ways to describe complex numbers, and so it is important to understand converting complex numbers from trigonometric form to rectangula ...

Multiplying Complex Numbers

"To simplify expressions by multiplying complex numbers, we use exponent rules for i and then simplify further if possible. Remember that, by definition, i^2= -1, which also means that i ^ 4= 1. If m ...

Adding Complex Numbers

"Subtracting and adding complex numbers is the same idea as combining like terms. In an expression, the coefficients of i can be summed together just like the coefficients of variables. If an expressi ...

Fibración. Capítulos 7 y 8 de Dimensions

El matemático Heinz Hopf describe su "fibración". Utilizando números complejos construye hermosas composiciones de círculos en el espacio.

Un artículo que t ...

Complex Numbers

Un breve artículo en inglés que trata de los números complejos. Para tus clases bilingües de Matemáticas (Bachillerato).

En concreto es la explicación de un prof ...

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