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express in the form z = x +yi the complex number z whose modulus and argument are given. |z| = 1/2 , arg(z) = -(π/3)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 23E: Prove that for complex numbers .

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Question

express in the form z = x +yi the complex number z whose modulus and argument are given.

|z| = 1/2 , arg(z) = -(π/3)

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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