Question

if z=|+3| Find the modulus and amplitude of z​

Answer 1

Answer:

ARG(z) = π/3 and modulus of z is 2.

Step-by-step explanation:

As z = 1 +√3i , let a be the acute angle given by

$tan(A)=\frac{im(z)}{re(z)} \\\\tan(A)=\frac{\sqrt{3} }{1}$

tan A = √3

tan A = tan π/3

A = π/3

We observe that z lies in 1st quadrant , So.

ARG(z) = A = π/3

$z=\sqrt{(1)^2+(\sqrt{3})^2}$

z=2