I needed to plot a function, using  plot in Maple.

plot(sin(x)*sqrt(1 - (sin(x)/x)^2), x = 0 .. Pi/4)

The graph shown by Maple seems to be identically 0 from x=0 up to some x^*. At this point it jumps and for x>x^* it looks fine. Of course the function has a singularity at x=0, but even changing the left end of plotting range to something small but positive does not alleviate the problem. Another strange thing is that x^* seems to depend on the (end point of) the plotting range.