The FPGA system involves the trigonometric function as the mathematical operation, but the traditional lookup table method takes up more resources, the calculation problem of the lack of precision, is proposed in this paper calculation method of trigonometric function based on CORDIC algorithm. Firstly, the hardware structure of the CORDIC algorithm, and then use the Verilog HDL hardware description language in Quartus II 13.1 in the algorithm is compiled and simulated, and the simulation results and actual results of error analysis, the final choice of EP4CE30F23C6 Altera devices Cyclone E series IV, implements FPGA CORDIC algorithm. The experimental results show that the algorithm can use less hardware resources to achieve high computational accuracy, and the computing speed is fasterand can meet the practical needs of computing.