
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
Below is the graph of $y = a \csc(bx+c)$ for some positive constants $a$, $b$, and a phase shift $c$. The graph has vertical asymptotes at $x=-\frac{7\pi}{3}$ and $x=\frac{5\pi}{3}$, and reaches a minimum positive value at $x=0$ on the interval $[-\frac{7\pi}{3}, \frac{5\pi}{3}]$. Determine the values of $a$ and $c$.

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