trigonometry - Simplifying atan(tan(a+b)) -


I wonder why it does not work as expected: 

  + Y & lt;% pi / 2); Let (x + y> -% pi / 2); Atan (tan (x + y));   
 This reduces:  
  atan (tan (x + y))   
 ie not at all . I expected that it would be less than:  
  x + y    
 
 
 Try  triginverses .  
  (% i9) atan (tan (x + y)); (% O9) come (t (y + x)) (% i10)%, triginverses = all; (% O10) y + x

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