lookup tables don't innately speed things up, and would only really be used on weaker hardware, or places where you need the same sin/cos value over and over, which is rarely true when they're being fed continuously changing floats like they are in construct.
C2 afaik uses the JS Math.sin() / Math.cos() functions, which likely work using the fastest possible implementation of trig functions using your hardware. You're not going to get a performance improvement by using a lookup table, and you'll likely get way worse performance if you try. If you have to recalculate the same sin/cos multiple times, do it once in a variable. this is the "fast" way to do things. Even if you do this you might not get any performance gains since most new js engines will dynamically find these little things and optimize them with their JIT compiler, unless its a really significant overuse in your code.