Depends on the type of 'Dead' tree - My Austrian friends have a better explanation. They call them 'dry'.
Some recently dead trees (pinus spp a good exampe) can have a lot of chewy timber strength when dead. In which case, standard variations of falling techniques apply.
My comments are for 'Dry', brittle, dead trees.
There is little 'control' with such dry dead trees. You create the direction with force, then let gravity take it over.
Then there are soft, rotten, dead trees...
Never kid yourself its a safe operation just because there is a face and a hinge - the tree will fall the way its forced (gravity, additional pull or push).
A lot depends on the weight and dimensions of the tree also (height over diameter ratio).