rt2 = sqrt (2);
rt3 = sqrt (3);
x = [0, pi/6, pi/4, pi/3, pi/2, 2*pi/3, 3*pi/4, 5*pi/6, pi];
v = [0, 1/2, rt2/2, rt3/2, 1, rt3/2, rt2/2, 1/2, 0];
all (abs (sin (x) - v) < sqrt (eps))
