Improved performance by adding function which calcuates sine from cosine, but I'm not sure if it works good in every circumstances about minecraft HOT 3 CLOSED

def sin_from_cos(degrees, cos_value):
    if degrees < 0.0:
        degrees += 2 * pi
    return sqrt(1.0 - cos_value * cos_value) * (1.0 if fmod(abs(degrees), 2 * pi) < pi else -1.0)

from math import cos, sin
c = cos(-3428.1)

%timeit sin_from_cos(-3428.1, c)
1000000 loops, best of 3: 772 ns per loop

%timeit sin(-3428.1)
10000000 loops, best of 3: 88.2 ns per loop