Let $x * y = {x^2} + {y^3}$ and $(x * 1) * 1 = x * (1 * 1)$. Then a value of $2{\sin ^{ - 1}}\left( {{{{x^4} + {x^2} - 2} \over {{x^4} + {x^2} + 2}}} \right)$ is :

Question

Let $x * y = {x^2} + {y^3}$ and $(x * 1) * 1 = x * (1 * 1)$.

Then a value of $2{\sin ^{ - 1}}\left( {{{{x^4} + {x^2} - 2} \over {{x^4} + {x^2} + 2}}} \right)$ is :

${\pi \over 4}$

${\pi \over 3}$

${\pi \over 2}$

${\pi \over 6}$

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