A peculiar consequence of the "smartview" of plots see updates Maple16 (plotting) is that the plot of a constant function only shows the rounding errors:

plot( arcsin+arccos, -1..1 );

Obviously Maple doesn't automatically simplify arcsin(x)+arccos(x) to Pi/2.
No problem with

plot(Pi/2, -1..1 );

or

plot( {arcsin,arccos,arcsin+arccos}, -1..1 );

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