How to find the modulus and argument of a complex number?

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How to find the modulus and argument of a complex number?

Ravindra Pindel 12th Feb, 2021

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Ravindra Pindel 12th Feb, 2021

To find the modulus and argument of a complex number z=x+i y :
- Modulus is the distance from the origin:

$|z|=\sqrt{x^2+y^2}$

- Argument is the angle $θ$ made with the positive real axis:

$\arg (z)=\tan ^{-1}\left(\frac{y}{x}\right)$
The modulus shows the length, and the argument shows the direction of the complex number on the Argand Plane.

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