sine(x) (blue) and quintic Hermite approximation using 3 points (orange) -0.7499 -0.5 -0.25 0 0.25 0.5 0.7499 0.9999 -2.513 -1.885 -1.257 -0.6283 0 0.6283 1.257 1.885 2.513 3.142