If f(x)=sin{[x+5]+{x-{x-{x}}}" for "x in...

If `f(x)=sin{[x+5]+{x-{x-{x}}}" for "x in (0,pi/4)` is invertible, where {.} and [.] represent fractional part and greatest integer functions respectively, then `f^(-1) (x)` is ::
`I. sin^(-1)x` II. `pi/2-cos^(-1)x` III. `sin^(-1){x}` IV`.cos^(-1){x}`
The correct choice is:

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