Help with this proof. Not exactly sure where to start.

The statement is:

"For each real number p, there exist real numbers q and r such that qsin(r/5) = p."

We have to either prove this statement or give a counter-example.

I've been talking with others in my class and it seems like the first thing we need to do is say:

"Let p be a real number. Put r = (5/2)(pi)."

And then I plugged this in for r in the equation, getting q = p.

Is this correct? If not, what am I doing wrong? Thanks in advance for the help :)