An apparatus for generating sine/cosine values of an input phase is disclosed. The apparatus includes a phase projector, an LUT-arithmetic unit, a temp sine/cosine generator and a sine/cosine value generator. The phase projector maps the input phase angle into an octant phase and determines an octant index indicating which octant the input phase angle actually locates and a flag indicating whether or not the input phase happens to be pi/4, 3*pi/4, 5*pi/4 or 7*pi/4. The LUT-arithmetic unit receives the octant phase for provision of its corresponding sine/cosine values. The temp sine/cosine generator receives the corresponding sine/cosine values of the octant phase for provision of temp sine/cosine values based on the flag. The sine/cosine value generator selectively swaps and inverts the temp sine/cosine values as the sine/cosine values of the input phase based on a swap index derived from the octant index.