Complex conjugation means reflecting the complex plane in the real line.
The notation for the complex conjugate of \(z\) is either \(\bar z\) or \(z^*\). The complex conjugate has the same real part as \(z\) and the same imaginary part but with the opposite sign. That is, if \(z = a + ib\), then \(z^* = a - ib\).
In polar complex form, the complex conjugate of \(re^{i\theta}\) is \(re^{-i\theta}\).
