Sine-cosine function generator using a power series

Claim 1

Apparatus to generate the sine and cosine of an angle at high frequencies comprising: a. signal generating means to generate a first signal representing the angle for which a sine and cosine is to be generated; b. a first multiplier having as both inputs said first signal and having an output representing the square of said angle; c. a second multiplier having as both inputs the output of said first multiplier and having an output representing the fourth power of said angle; d. a first amplifier having the output of said first multiplier as its input and scaled to multiply said input by one over two factorial; e. a second amplifier having the output of said second multiplier as its input and scaled to multiply said input by one over four factorial; f. a third amplifier having as a first input the output of said first amplifier, as a second input the output of said second amplifier and as a third input a voltage representing a value of one whereby the output of said third amplifier will be a power series approximation of the cosine of said angle; g. a fourth amplifier having the output of said first multiplier as its input and scaled to multiply said input by one of three factorial; h. a fifth amplifier having the output of said second multiplier as its input and scaled to multiply said input by one over five factorial; i. a sixth amplifier having as a first input the output of said fourth amplifier, as a second input the output of said fifth amplifier, and as a third input a voltage representing a value of one; and j. a third multiplier having as a first input the output of said sixth amplifier and as a second input said first signal, whereby the output of said third multiplier will be a power series approximation of the sine of said angle.