If we restrict its domain to
2,
2
−π π





, then it becomes one-one
and onto with range [– 1, 1] Actually, sine function restricted to any of the intervals
−

23
2
π
, �π
,
2,
2
−π π





, 
2,3
2
π
π






etc , is one-one and its range is [–1, 1] We can,
therefore, define the inverse of sine function in each of these intervals