Question

Argument
of (Z1*Z2) =Arg (Z1) + arg(Z2)​

Answer 1

Answer:

Let two complex number

z_1 and z_2 and there argument is alpha and beta respectively

$z_1 = a {e}^{i \alpha } \: \: and \: \: z_2 = b {e}^{i \beta } \\ z_1z_2 = ab {e}^{i \alpha } {e}^{i \beta } = ab {e}^{i( \alpha + \beta )} \\ arg|z_1z_2 | = \alpha + \beta$