Question

1+√3i upon 2 find the modulus and argument?​

Answer 1

Answer:

Modulus = 2

Argument = 45°

Step-by-step explanation:

A complex number is written in the form

: z = x + iy.

The modulus of z is

|z| = r =  √(x² + y²)

The argument of z is

arg z = θ = $\arctan {\frac{y}{x}}$

So, here we have x = 1 , y = √3

∴ Modulus = √1² + 3 = 2

and Argument =  $\arctan {\frac{\sqrt{3}}{1}} =$45°