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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