Double-Helical Equation

$\large{\begin{cases} \frac { 9{ x }^{ 2 }\sin ^{ 2 }{ x } +4\cos { x } +\tan { x } }{ x\sin { x } } =y \\ { y }^{ 3 }+\sin { x } =1 \end{cases}}$

The above set of equations have infinitely many solutions. Find the second smallest positive real solution for $x$ upto 4 decimal places for the above set of equations.