Question: Verifying more complex trig identities

Maple evaluates:

but when I ask:

Maple will verify sin(u)/cos(u)=tan(u) but beyond that it does not seem to work too well. I suspect this has something to do with verify being a "semi-boolean" function but searching the docs for what that mean returns no results. It may mean "I am unable to decidee". But how should I know? :-(

This is Maple 2016.1 on Windows. There is a post on verifying very simple identities.

Edit As usual some very helpful answers for which many thanks. It is poor that Maple does not document the meaning of FAIL.It seems that for trig identities the expandverfier is the best.

Edit Maple documents FAIL under ? FAIL. I am not sure how I got a blank page when I searched.

 

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