Recently, SynRM has been focused by many researchers and there has been a lot of works for the industrial application of SynRM. In spite of several merits of SynRM, the information of exact rotor position is also required to perform the precise torque control, which causes the increment of cost and demerits SynRM to use in industrial application. Therefore, we studied sensorless control algorithm for the torque control of SynRM to overcome the demerits. Specially we proposed simple algorithm to estimate rotor position using trigonometric function, verified with computer simulation and experiment.