The modulus, or the absolute value, or even the magnitude, is an expression of the size of a complex number. It's a representation of the distance from the origin on the complex number plane. By using the Pythagorean theorem, we can determine that the magnitude of a complex number of the form a + bi is given by √(a² + b²). This essentially denotes the size of the number.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the magnitude of the complex number \(z = 3 … | First, we substitute \(\theta = \frac{\pi}{4}\) into the complex number, so \(z = 3 \cos\left(\frac… |