The principal argument of the complex number (z=\frac{8+4i}{... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The principal argument of the complex number $z=\frac{8+4i}{1+3i}$ is equal to

A

$\frac{\pi}{4}$

B

$\frac{-\pi}{4}$

C

$\frac{3\pi}{4}$

D

$\frac{-3\pi}{4}$

E

$\frac{\pi}{6}$

Answer

$\frac{-\pi}{4}$

Explanation

Solution

The correct option is (B) : $\frac{-\pi}{4}$