Let x y = x² + y³ and (x 1) 1 = x (1 1). Then a value of 2 sin ⁻¹((x⁴ + x² - 2)/(x⁴ + x² + 2)) is:

Trigonometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Evening shift · Q4108

JEE Main 202224 Jun, Evening shiftMathematicsHardTrigonometry118× since 2002

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 :

JEE Main 2022 · 24 Jun, Evening shift · Q4108

JEE Main 202224 Jun, Evening shiftMathematicsHardTrigonometry118× since 2002

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 :