Thread: Points on a sine wave

Given 3 points : p1(x1,sin(x1)) p2(x2,sin(x2)) p3(x3,sin(x3)) does the following identity hold ?

if x2 < x3 and | x1 - x2 | < | x1 - x3| then distance(p1,p2) < distance(p1,p3)

Consider x_1 = 0, x_2 = pi/2, x_3 = pi.