New Improved Algorithm of Sine and Cosine Value of Specific Angle

Considering the characteristic of the angles, the sine and cosine values of which compose the discrete- sine and cosine wave, the new improved algorithm is presented. In the algorithm, the theory of setting Renminbi notes is used to selecting the basic angle sequence and the symmetry of trigonometric function is used to compute the sine and cosine values of the basic angle expressed as 2kπ/2^N. Simulation results prove that the precision may reach 10^-6 under 5 iterations. Compared with other algorithms, The computational complexity of the algorithm is simple, the precise is higher. Therefore the algorithm is feasible for the NCO.