Statement-1:`sin^(-1)tan((tan^(-1))x+tan^(-1)(1-x))]` `=(pi)/(2)` has no non zero integral solution Statement-2: The greatest and least values of `(sin^(-1)x)^(3)+(cos^(-1)x)^(3) are (7pi)^(3)/(8) and (pi)^(3)/(32)` respectively

Options

A. Statement-1 is is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Explanation

To solve the problem, we need to analyze both statements provided in the question.

### Statement 1:
We need to evaluate the expression:
\[ \sin^{-1}(\tan(\tan^{-1}(x) + \tan^{-1}(1-x))) = \frac{\pi}{2} \]
This implies:
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