GoForSmoke:
So for a sine table with values of 0.0 to 1.0 I might have 11 array elements where each holds the angle corresponding to sine = 0, .1, .2, ... 1.0 rather than array elements for angles with values = sine of those. More of an arcsine table.
I haven't fully understood your example. Are you starting with an angle and trying to estimate its sine, or starting with a sine and trying to estimate the angle?