This occurs when the complex number is on the negative real axis. 2. How do you find the greatest value of the argument of a complex number? To find the greatest value of the argument of a complex number, you can use the formula arg(z) = tan-1 (b/a), where a is the real part of the complex number and b is the imaginary part. 3. The value of the Principal argument is denoted by A r g ( z). We can write the argument of the complex number or their general form, z = x + i y and algebraically we can represent the argument of the complex number as: arg ( z) = tan − 1 ( y x), w h e n x > 0 ⇒ arg ( z) = tan − 1 ( x y) + π, w h e n x < 0. Now, we will find the range of 1. Complex numbers Complex numbers are of the form z = x +iy, x,y ∈ R, i2 = −1. In the above definition, x is the real part of z and y is the imaginary part of z. The complex number z = x +iy may be representedinthe complex plane as the point with cartesian coordinates (x,y). y 0 x z=3+2i 1 1 Chapter 13: Complex Numbers 2 Answers. Sorted by: 9. Interpret arg a r g as principal value Arg A r g, and write z z in the form. z = r(cos θ + i sin θ) (r ≥ 0, −π < θ < π) . z = r ( cos θ + i sin θ) ( r ≥ 0, − π < θ < π) . Your condition then amounts to. r = θ , r = θ , so that necessarily r = θ > 0 r = θ > 0, since θ θ is undefined at z = 0 z = 0 when we represent a complex number in a+ib both a and b are real. the Imaginary part of z is usually represented on the y-axis of the complex plane.i.e. the real number b. Like @Andrew Li rightly mentioned that iota just tells us that we are dealing with the imaginary/complex plane. Z = complex number. a = real part. j b = imaginary part (it is common to use i instead of j) A complex number can be represented in a Cartesian axis diagram with an real and an imaginary axis - also called the Argand diagram: θ = argument (or amplitude) of Z - and is written as "arg Z" GAYWAz6.

what is arg z of complex number