4 (ii)
Rationalised 2023-24
 24
MATHEMATICS
2,
2
−π π





, then it is one-one and onto with its range as R Actually, tangent function
restricted to any of the intervals 
23 ,
2
− π −π





, 
2,
2
−π π





, 
2,3
2
π
π






 etc , is bijective
and its range is R Thus tan–1 can be defined as a function whose domain is R and
range could be any of the intervals 
23 ,
2
− π −π




 , 
2,
2
−π π




 , 
2,3
2
π
π





  and so on