
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]


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In the Cartesian coordinate plane $(xOy)$, the vertices of $\triangle ABC$ are $B(-2,0)$ and $C(2,0)$, and vertex $A$ lies on the ellipse $\frac{x^{2}}{16}+ \frac{y^{2}}{12}=1$. Determine the value of $\frac{\sin B+\sin C}{\sin A}$ .

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