Reviewing precalculus, domains, ranges, other?

I am supposed to find the domain and range of some functions, but I don't remember how from last year. I know it has something to do with kπ, and you add it to the function, but I don't really remember what I am supposed to do with it to find the domain and range. What is a general process for doing this? Can you show me how to do this process on the problem "y = 3 csc (3x + π) - 2"?

Also, it says I have to give the exact values of the six trigonometric functions of something like (theta) = arcsin (8/17). How do I find these?

Another thing... I need to evaluate expressions like sin(arccos(7/11)). How do I do that?

Thanks,

Dalton

Re: Reviewing precalculus, domains, ranges, other?

You should be well aware of the Pythagorean Identity: .

From that we get .

So for we have