Thus, sin–1 is a function whose
domain is [– 1, 1] and range could be any of the intervals 
23 ,
2
− π −π





, 
2,
2
−π π





 or
2,3
2
π
π






, and so on Corresponding to each such interval, we get a branch of the
function sin–1 The branch with range 
2,
2
−π π




  is called the principal value branch,
whereas other intervals as range give different branches of sin–1 When we refer
to the function sin–1, we take it as the function whose domain is [–1, 1] and range is
2,
2
−π π




