sin.py

def sin(n):
    # Since we're approximating with a polynomial,
    # we need to artificially limit our domain to
    # [-pi, pi]. That's kind of how trig works
    # anyway, so it makes perfect sense.

    # I just copy-pasted math.pi from the interpreter
    # to save a tiny bit of load time. 
    if n > 3.141592653589793:
        return sin(n - 2*3.141592653589793)
    elif n < -3.141592653589793:
        return sin(n + 2*3.141592653589793)
    else:
        return round(float(n -1 * n**3/6+ 1 * n**5/120+ \
                             -1 * n**7/5040+ 1 * n**9/362880+ \
                             -1 * n**11/39916800+ 1 * n**13/6227020800+ \
                             -1 * n**15/1307674368000+ 1 * n**17/355687428096000+ \
                             -1 * n**19/121645100408832000+ 1 * n**21/51090942171709440000L+ \
                             -1 * n**23/25852016738884976640000L+ 1 * n**25/15511210043330985984000000L+ \
                             -1 * n**27/10888869450418352160768000000L), 9)