2005 Toyota Corolla Radio fuse

Pg. 250 of your 2005 Owner's Manual shows the location of the Fuse Boxes. There is one under your hood on the driver's side and the other is under the dash just to the left of steering wheel. Pg 272, will show you how to replace the fuses. Pg. 286-287 gives a diagram and description of each fuse and what part of the electrical system it enables.
This portion of the electrical system correspondeds to the fuse in position 32 on pg. 287 of the manual.
Your going to have to get on your back with a flashlight and open up the fuse box under the dash by the steering wheel. The lid of the fuse box shows the positions of the fuse and their amperage rating. Like I said, replace the fuse in postion 32 (15 Amp). There is a spare 15 Amp fuse in the fuse box under the hood (easy to get to, see the diagrams in the owner's manual). There is also a fuse puller tool next to the spare fuses.