
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
In the Cartesian coordinate plane $(xOy)$, the vertices of $\triangle ABC$ are $A(-4,0)$ and $C(4,0)$, and vertex $B$ lies on the ellipse $\frac{x^{2}}{25} + \frac{y^{2}}{9} = 1$. Compute the value of $\frac{\sin A + \sin C}{\sin B}$ = \_\_\_\_\_\_.

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