A developer attempts to compute the sine function using the Taylor series method, encountering issues with accuracy and overflow for larger arguments.
The developer realizes the limitations of the Taylor series approach and the importance of considering range reduction to improve accuracy in calculations.
By implementing range reduction techniques, the developer is able to improve accuracy in computing the sine function for larger arguments.
While naive attempts at range reduction have limitations, with clever strategies and range reduction algorithms, precise computation of trigonometric functions is achievable.