The CORDIC algorithm is a widely adopted method for vector rotations in digital signal processing (DSP) due to its iterative, hardware-efficient nature. This paper presents a detailed literature review on implementing sine and cosine generators using CORDIC, emphasizing its simplicity and adaptability. Various approaches to implementation are discussed, along with their advantages, limitations, strengths, and weaknesses. The review highlights advancements in CORDIC algorithms, such as improved computational speed and reduced iteration counts. A comparative analysis is conducted to evaluate these methods based on efficiency and hardware utilization. The findings underline CORDIC’s relevance in DSP applications, while also addressing challenges like managing computational complexity and dynamic range. The study concludes by identifying opportunities for further optimization, making the algorithm suitable for high-speed, resource-constrained environments.