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If f(x) = sin^(-1) x. cos^(-1) x. tan^(-...

If `f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x. cosec^(-1) x`, then which of the following statement (s) hold(s) good?

A

(a) The graph of `y = f(x)` does not lie above `x`-axis

B

(b) The non-negative difference between the maximum and the minimum value of the function ` y = f (x) " is " (3 pi^(6))/64`

C

(c) The function `y = f(x)` is not injective.

D

(d) Number of non-negative integers in the domain of `f(x)` is 2.

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