Problem

Given a complex number \( z = 5 + 3i \), find the magnitude and argument of \( z \).

Solution

Step 1 :Step 1: Calculate the magnitude of \( z \) using the formula \( |z| = \sqrt{a^2 + b^2} \) where \( a \) is the real part and \( b \) is the imaginary part of \( z \). So, \( |z| = \sqrt{5^2 + 3^2} \)

Step 2 :Step 2: Calculate the argument of \( z \) using the formula \( arg(z) = \arctan\left(\frac{b}{a}\right) \). So, \( arg(z) = \arctan\left(\frac{3}{5}\right) \)

From Solvely APP
Source: https://solvelyapp.com/problems/MG3i3mDmjW/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download