How to avoid Trust This Computer on iPhone?

I dropped my iPhone 5 and 3/4 of the screen is missing
I can still unlock it but as I have never synced it on this computer before I'm required to "trust" the computer before importing the photos.
As I can't click "trust" because the screen is broken I'm unable to retrieve the photos and other details.

Is there anyway to access the phone without the "trust"?

Many Users think this is issue with Cable or iTunes but still there's no official wording from apple on this issue so here is some steps to avoid this issue or to stop this message.

Update iTunes:

Step 1: You can Directly Update your iTunes by checking latest Update and it's updated version than you can uninstall it and restart computer.

Step 2: Now Uninstall all other Apple Programs also like Apple Software Update, Apple Mobile Support Etc.

Step 3: Restart Computer and now again Download and install iTunes.

Update Windows Drivers For Apple Mobile Device Support:

Step 1: Go to Control Panel on your Windows
Step 2: Now Click on install/Uninstall Program
Step 3: Now you Will see all the Program and software installed on your computer.
Step 4: Find Apple Mobile Device Support and click on Repair.
Step 5: Now Windows Start Repair Apple Mobile Device Support.
Step 6: After Update Complete Restart Your Computer.
Step 7: Now Plugin your iphone again and check.