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A complex number z = x+iy or (x, y) can be also represented as (r, θ) in polar coordinate, where r = √(x2+ y2) and θ = tan-1(y/x). Here θ is known asArg(z). And the values of θ in
]-π, π] is known as principal value of the argument and is represented as arg(z). It is evident that Arg(z) = arg(z) + 2nπ.
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How do you find the argument of the complex number -2-i?
arg(-2-i) = sqrt[22 + 12] = sqrt(5)
If z equals a plus ib then show that arg conjugate of z equals 2pi -arg z?
If z = a + ib then arg(z) = arctan(b/a) Let z' denote the conjugate of z. Therefore, z' = a - ib Then arg(z') = arctan(-b/a) = 2*pi - arctan(b/a) = 2*pi - arg(z)
Can a complex number be a pure imaginary number?
Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.
What is the graphical relationship between a conjugate number and a complex number?
Graphically, the conjugate of a complex number is its reflection on the real axis.
Is one a real complex pure imaginary or nonreal complex number?
One is a complex number and a real number.
