Complex numbers: modulus and argument

Change the real and imaginary parts to see the modulus, argument and polar form.

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Questions students ask

What is the modulus of a complex number?

Its distance from the origin on the Argand diagram, √(a² + b²).

What formula does it use?

|z| = √(a² + b²); arg z = atan2(b, a); z = r(cos θ + i sin θ).

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