Cock the hammer to FULL COCK.
Set thumb safety.
Holding pistol normally, with grip safety pressed, pull trigger. Hammer must not fall because the thumb safety is on.
Release thumb safety.
Hold pistol WITHOUT touching grip safety, pull trigger. Hammer must not fall because grip safety is not engaged.
Hold pistol normally. Thumb safety off and grip safety engaged, pull trigger - hammer should fall. DO NOT RELEASE TRIGGER KEEP HOLDING IN.
Now operate slide with trigger still pulled. After slide moves forward hammer must remain full cocked. This is a disconnector test. You are still holding the trigger.
Now release the trigger. You must feel/hear the disconnector pop back into position.
I never heard of any half cock test with a 45, if there is such a thing please provide a reference.
Hope this helps...