  The trigonometric P\"oschl-Teller (PT) potential describes the diatomic
molecular vibration. By using the Nikiforov-Uvarov (NU) method, we have
obtained the exact analytical s-wave solutions of the radial Schr\"odinger
equation (SE) for the trigonometric PT potential. The energy eigenvalues and
corresponding eigenfunctions are calculated in closed forms. Some numerical
results are presented too.
