Trig Identity Problems?

[DWarrior]

I'm trying to memorize the lesser-known trig identities and would like to have a set of problems so I could practice them. Do you know where I can find some problems like that? I'm not looking for the actual list of identities, I'm looking for simplification problems that would require me to use them.

For example, one problem might be to simplify
1-cos(2x)+2cos(x)^2

And you'd have to use trig identities to get to the simplest form. In this case it would be 2.