
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
Determine the spherical coordinates of the point that is represented in rectangular coordinates as $(x,y,z)$ then modified to $(x,-y,-z)$, where the original spherical coordinates are $\left(3, \frac{9 \pi}{8}, \frac{4 \pi}{7}\right)$. Provide your answer as $(\rho,\theta,\phi)$, meeting conditions $\rho > 0$, $0 \le \theta < 2 \pi$, and $0 \le \phi \le \pi$.

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