When chasing a suspect on foot or in a vehicle, hold Circle to keep an eye on them. This makes chase scenes much easier.

When you get near a suspect on foot, press X repeatedly to tackle them.

In a car chase, pull up alongside a driver to have your partner fire at him. If he shoots a tire, the car will slow down, emitting sparks from one wheel. A quicker way to take out a driver is to slam into a rear wheel, spinning the car out of control. You can also t-bone a suspect at an intersection to take them out.