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

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.

He basically explained it all :)

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

LoL PM Lightning :)

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

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 :)

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