(sinx)^x inequation

Given the inequality:
$$\sin^{x}{\left(x \right)} > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin^{x}{\left(x \right)} = 0$$
Solve:
$$x_{1} = \pi$$
$$x_{1} = \pi$$
This roots
$$x_{1} = \pi$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + \pi$$
=
$$- \frac{1}{10} + \pi$$
substitute to the expression
$$\sin^{x}{\left(x \right)} > 0$$
$$\sin^{- \frac{1}{10} + \pi}{\left(- \frac{1}{10} + \pi \right)} > 0$$

   -1/10 + pi          
sin          (1/10) > 0
    

the solution of our inequality is:
$$x < \pi$$

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