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Well... maybe that's a stretch. I don't think I can recommend anything to help you win friends. Not my forte. But I am going to try to convince you why you should know about Chebyshev approximation, which is a technique for figuring out how...
I think the values you need are about half way down the page
Also look at a CORDIC implementation. It is probably better than polynomial implementations in small microcontrollers, especially if multiplication (with the required precision) can't be done in hardware.