Cornering is a big, big topic with so many variables.
Flat turn, bermed turn, off camber turn – then add in the trail surface – loose, packed, etc.
You can make your corner using an early, middle, or late apex as well as enter fast, exit slow, carry speed through out or enter slow and exit fast.
Body position and lean also play a big role. Lean the body and bike as one, lean the body more than the bike, lean the bike more than the body.
Rear braking can loosen the traction on the back tire causing it to skid around, helping to make a tight turn easier.
It could take you years to figure all this out on your own – I highly recommend [i:22jc41f5]Mastering Mountain Bike Skills[/i:22jc41f5] by Brian Lopes and Lee McCormack (Amazon sells it).
Great chapter covering all the various techniques for cornering.
Welcome to Singletracks!