Solution: The expression $ \cos x + i\sin x $ corresponds to $ e^ix $ on the unit circle in the complex plane. Therefore, $ \cos x + i\sin x + 1 = e^ix + 1 $. The modulus is $ |e^ix + 1| $. Using the identity $ |e^ix + 1| = \sqrt(\cos x + 1)^2 + \sin^2 x $, we simplify: - Veritas Home Health