Embodiments of systems, apparatuses, and methods for performing controllable sine and/or cosine operations in a processor are described. For example, execution circuitry executes a decoded instruction to compute at least a real output value and an imaginary output value based on at least a cosine calculation and a sine calculation, the cosine and sine calculations each based on an index value from a packed data source operand, add the index value with an index increment value from the packed data source operand to create an updated index value, and store the real output value, the imaginary output value, and the updated index value to a packed data destination operand.