If `-1lexle0` then `sin{tan^(-1)((1-x^(2))/(2x))-cos^(-1)((1-x^(2))/(1+x^(2)))}` is equal to

Options

A. 1
B. `-1`
C. 0
D. none of these

Explanation

To solve the problem, we need to evaluate the expression:

\[ \sin\left(\tan^{-1}\left(\frac{1-x^2}{2x}\right) - \cos^{-1}\left(\frac{1-x^2}{1+x^2}\right)\right) \]

for \( -1 \leq x \leq 0 \).

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