The number of solutions of the equation sin−1x2+13+cos−1x2−23=x2 , for x∈−1,1 , and x denotes the greatest integer less than or equal to x , is:

sin−1x2+13+cos−1x2+13−1=x2sin−1t+cos−1t−1=x2  where t=x2+13;  x∈−1,1⇒t=0,1t=0⇒x2=π  &   x2<23  this is not possibleand when t =1, then x2=π and 23