
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given points $A(x_{1},a^{x_{1}})$ and $B(x_{2},a^{x_{2}})$ on the graph of the function $y=a^{x} (a > 1)$, it is known that line segment $AB$ is always located above the function's graph between points $A$ and $B$. Consequently, the conclusion $\frac{a^{x_{1}}+a^{x_{2}}}{2} > a^{\frac{x_{1}+x_{2}}{2}}$ holds true. By applying analogous thinking, if points $A(x_{1},\sin x_{1})$ and $B(x_{2},\sin x_{2})$ belong to the graph of the function $y=\sin x (x \in (0,π))$, then a similar conclusion can be drawn: \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
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