I'm given: sin α cos β = 1/2

what's the range of cos α sin β ?

I think I'm supposed to use identities to get the answer.

sin(α + β) = sin α cos β + cos α sin β

sin(α + β) = 1/2 + cos α sin β

After that, I don't know what to do. Should I isolate the cos α sin β on one side of the equal sign, or should I isolate the 1/2? Or is there another identity I can use?

Any help is appreciated!