a method for determining the angular position of a synchronous machine having a magnetically anisotropic rotor includes an iteration stage and an iteration stage . the iteration stage encompasses : generating an magnetic field of an angular direction and acquiring an peak value of the current pulse generated by the voltage pulse ; and providing at least two further peak values in different angular directions that differ from the angular direction . the iteration stage includes : ascertaining the angular directions and in which the two highest or the two lowest peak values from a peak value group occur ; and providing an angular direction , which resides between the angular direction and the angular direction , as an angular position output .