OK here we go you will need a test light for the following tests, i will try to be as descriptive as possible so lets get started
fist start the engine and turn on the a/c that should command the fan on.
right front engine compartment next to the battery is the power distribution center pop off the top, ground your test light to the negative battery terminal and find fuse number 10 it is a 40 amp fuse check both sides of this fuse with your test light, if you have power on both sides of the fuse than we shall go further.
unplug the connector from the cooling fan, there should be two wires in the plug one is dark green and the other is black with a pink tracer, with your test lite grounded to the negative battery terminal check the dark green wire for power, if there is power there than move your test light ground clamp to the battery positive terminal and test the black wire for ground,
if testing the black wire made the test light shine than the ground circuit is good, if it did not than check you ground connection behind the right headlight.
when testing the dark green wire, if the dark green wire made the test light shine and the ground circuit is good than you simply have a bad coolant fan motor.
I suspect you were not getting power to the fan motor so you will need to take a look at the radiator fan relay, this is a special solid state relay mounted to the inside of radiator core support on the right side down behind the bumper.
here you will find a single plug with 4 wires in it
black = ground
dark blue / pink = relay controll from pcm
dark green = output to radiator cooling fan
gray = battery power from fuse # 10 in pdc
unplug the relay ground your test light to the battery negative terminal, with the engine running and a/c turned on check the gray wire the test light, it should turn on if not recheck fuses.
move your test light to the battery posistive terminal and test the dark blue / pink wire, if the test light turns on than you have a bad radiator fan relay, you can pick one up at your local parts store for about $85.00 just make sure you get a high quality one the cheap ones have a hard time with the amprege consumption of that fan.