To find the complex conjugate of a complex number, we simply reverse the sign of its imaginary component. Suppose the complex number is denoted as a + bi, then its conjugate will be a - bi. This process is particularly crucial for various mathematical tasks such as the normalization of complex numbers and the simplification of complex fractions.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the complex conjugate of the complex number … | Step 1: Replace \(\theta\) with \(\frac{\pi}{6}\) in \(z\), we get \(z = 3\cos\frac{\pi}{6} + 3i\si… |