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Question: Why do I have to use expand to combine this expression

Question:Why do I have to use expand to combine this expression

C_R 2540 Maple
August 08 2024
1

My (intutive) interpretation of combine was so far in line with the combine help page

The combine function applies transformations which combine terms in sums,...

For the expression below I have to do the opposite (i.e. expand)

1/2 + cos(2*x)/2
                         1   1         
                         - + - cos(2 x)
                         2   2         

expand(%,trig)
                                  2
                            cos(x)

Why is this and why does the context pannel offer (the ineffective) combine,trig on the first expression but not (the effective) expand,trig?

This cannot be a bug (this trig identity is so elementary) but I cannot make sense of it.

 
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