Right, but the largest subnormal number in single-precision floats is ~ 10^-38. That the sin(x) approximation still works well for 10^-1 (with an error of ~0.0

Right, but the largest subnormal number in single-precision floats is ~ 10^-38. That the sin(x) approximation still works well for 10^-1 (with an error of ~0.01%) is the really cool thing!