Okay, so here's what I've got:

Consider the function f(x)=sin(wx), where w is a positive constant.

If f(a) = 0 and f(b) = 1, what is the minimum possible distance between a and b?

I already have the answer to this problem (pi as in the number over 2w), however I have no idea what the process is to get to it.

If anybody knows how to solve this, please post a step-by-step guide on how to do so.

Thanks