Domain (D) and range (R) of fx=sin-1cos-1x, where [.] denotes the greatest integer function, is

Whenx=0,  we  have  sin-1cos-10=sin-1π/2,  not  defined.Whenx=-1,  we  have  sin-1cos-1-1=sin-1π,  not  defined.Whenx=1,  we  have  sin-1cos-11=sin-10=0.Hence,    x∈1,2 and   the  range  of  function is  0.