Am using Nokia Phone Broswer 2 together with Nokia Big Screen for HDMI connectio to TV set. This produces low-resolution iamges on the TV screen, as if the phone browser choses a resolution for its own screen and is not aware of the Big Screen.
I suggest Nokia to improve the integration between these 2 apps
It's not possible to use BigScreen to browse the internet on a TV. It currently only supports videos, pictures and music.
All the best.