Check to see if your tail-light (not brake light) works
when the tachometer is out...
There's a circuit with a green wire that runs all around
on the bike. My rear brake light was out because the
fuse in this circuit was blown. If I replaced the fuse it
would blow again. I realized that the tach went out too.
I forget what else is on this circuit. My problem was that
I mashed these two wires that go into the headlight bucket
in the windshield bracket and the wires finally rubbed through.
Your problem isn't the same as mine was, but it might help to chase
down the green wire through all its connections, maybe one is
loose or degraded somehow...

-Mike