I had the same issue. I Replaced the tach and all was well. I did check with a meter that can read a tach signal to confirm I had a tach signal to the dash first.
As Sled said but a volt meter on the sense wire to look for a voltage, it's a pulse so the meter will display the average of the pulse. If present replace the tach.
Thanks for the help.
If I understood correctly, I may use a voltmeter connected to the Sig and Gnd, to check any voltage.
This way any problem with the wiring could be detected.