(there doesn't seem to actually be a linked article there, just the summary)
EDIT: That's a paper for a software library, not the CPU's internal implementation. Which is probably still done with CORDIC.
Unless you're seeing something I'm not, it's talking about x87, which hasn't been anything other than 'internal' since they stopped selling the 80486sx.
Anyways I wonder why it's still so slow.
60-120 cycles sure looks like a CORDIC implementation, but perhaps not.