Question

Be written in the form of trigonometric complex numbers given in algebraic form
z=2i
I need to find r=module and c=argument ?

Answer 1

You can think of this being plotted on the complex plane. The number multiplying i (called the imaginary component) is the coordinate for the y axis, and the real part of z is the coordinate for the x axis. So for example -3 + 7i would correspond to the point (-3, 7).

R, the modulus, is the distance from the origin for the point. The argument is the angle to the point, measured from the x axis and going counter clockwise.

Answer 2

He basically explained it all :)

Answer 3

Yesss i know that but in this case if Z=2i means (2,1) or not ?

Answer 4

LoL PM Lightning :)

Answer 5

A complex number is of the form a + bi, where a is the real part, and b the imaginary part.

When plotted on the complex plane, a corresponds to the x-coordinate and b to the y-coordinate

z = 2i = 0 + 2i, so a = 0 and b = 2, so z = 2i corresponds to the point (0, 2) in the complex plane

Answer 6

LikeLightning has already explain what the modulus and argument is, so you should be able to finish the problem, if not don't hesitate to ask :)