I would use Vysor. You can control your phone from your computer. Root is NOT required.
Link to information on Vysor
You'll need the Android SDK install on the computer, as it does use adb, so you'll want to start adb by opening a command propmpt window and typing:
You'll have to install the Google Chrome extension from here. It only ...
I personally use Amazon Fire TV and the Amazon Fire Stick and it works fine. The Microsoft Wireless Display Adapter is supposed to work with Android devices as well.
How to use display mirroring on the Fire TV and Stick (from Amazon's website):
To quickly start display mirroring, on your Amazon Fire TV remote
press and hold the Home button and select ...
There is an app on the Google Play Store that does exactly what your looking for.
AirMirror: Remote support & Remote control devices
Remote Control AirMirror fulfills the goal to control one Android
phone with another phone.
*This feature needs AirDroid installed on the other end, and log in with the same email account.
You can apply AirMirror with the ...
Not using Reverse Tethering NoRoot, there are two ways to make reverse tethering.
It requires Android 5.0+, a 20KB .apk to install, and a command-line PC program (1MB).
You can use Gnirehtet (It is similar to Reverse Tethering NoRoot, but uses less space and has no usage limit), which can be downloaded here on GitHub. You will also need the ...
The quote I got from here is as following:
These Miracast dongles have 'WiFi direct' like this Sony has,
therefore you'd not need a router controlled WiFi home network.
But if I had a Note I'd look for a Samsung Allshare dongle, just to be
Original answer from September 2015:
No, you cannot with a standard USB cable. Depending on the mobile device in question as well as the monitor, you could possibly connect the phone with an MHL adapter.
Update September 2020:
Five years later and, of course, there are greater options for connecting a mobile device to an external screen. Hoping that everyone ...