Prove that if \(w,z\) are complex numbers such that \(|w|=|z|=1 and wz\ne -1\), then \(\frac{w+z}{1+wz}\) is a real number by proving that \(w\) and \(z\) are equal to their conjugates and that \(\overline z = 1/z\) and \(\overline w = 1/w\)
