Recording streamed music off the internet onto C.D.?

I'm thinking about buying a c.d. recorder to record some music but I have some questions first.  I would be buying it mainly to record music off of an internet radio station that I would not otherwise have access to (dj sets with no track listings...).  The thought of having a c.d. recorder brings me to another question though; if I were to record m.q.a. tracks straight from Tidal, why would they not be high resolution?  And lastly, what are the laws regarding recording music off of a site that you've paid to have access to?