MCQ
What is the value of $ \sin-1(\sin 6)?$
- A$-2\pi - 6$
- B$2\pi + 6$
- ✓either $-2\pi + 6$ or $2\pi + 6$
- D$2\pi - 6$
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Statement $-2:$ The functions $x^2e^x$ and $x^2e^{-x}$ are increasing for all $x > 0$ and the sum of two increasing functions in any interval $(a, b)$ is an increasing function in $(a, b).$

Statement $-1:$ The substitution $z = y^2$ transforms the above equation into a first order homogenous differential equation.
Statement $-2:$ The solution of this differential equation is ${y^2}{e^{ - {y^2}/x}} = C$.