Consider the function `f(x) = sin^(-1)x`, having principal value branch `[(pi)/(2), (3pi)/(2)] and g(x) = cos^(-1)x`, having principal value brach `[0, pi]`
For `sin^(-1) x lt (3pi)/(4)`, solution set of x is
A. `((1)/(sqrt2), 1]`
B. `(-(1)/(sqrt2), -1]`
C. `[-(1)/(sqrt2), (1)/(sqrt2)]`
D. `[-1, 1]`