A method (300) for generating a sine and cosine of an input angle (Ø102). The method involves decomposing Ø102 to an octant or quadrant, a coarse angle (A), and a fine angle (B), determining cos(A), and determining sin(A). The method also involves decomposing cos(A) and sin(A) to a most significant word (MSW) and a least significant word (LSW). The method further involves computing an approximation of 1−cos(B), an approximation of sin(B), and a plurality of products (P1, . . . , P4) using the MSWs and approximations. The method involves computing approximations of cos(Ø′102) and sin(Ø′102) using the values for cos(A), sin(A), and P1, . . . , P4. The method involves scaling the approximations of cos(Ø′102) and sin(Ø′102) to a desired resolution.