When a coach behaves like a 3 year old having a tantrum throwing down his clipboard - he does not deserve ANY explanation.   He is not going to listen to you anyway - he is just trying to rattle you and put center of attention on him/herself instead of where it ought to be.   Just like the 3 year old.  I think you handled it efficently.
Later, at an appropriate time when both are a bit calmer a conversation might take place.   But, lets face it - if I coach throws/slams anything - they know exactly why they got the T.     This comes from experience as a JV coach, varsity coach and official.