Consider, f(x)=sin^(- 1)sqrt(1-sqrt(x)) ...

Consider, `f(x)=sin^(- 1)sqrt(1-sqrt(x)) + tan^(- 1)(sqrt(1/(sqrt(x))-1))` If S is the set of integers in the range of f(x) and `A = [a_(ij)]_(2xx2)` is a matrix where `a_(ij) sub S` and all `a_(ij)` are distinct then find the no of different values of det(A).

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