
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 spherical coordinates, the point \(\left( 4, \frac{\pi}{4}, \frac{9 \pi}{5} \right)\) is equivalent to what point in the standard spherical coordinate representation? Enter your answer in the form \((\rho, \theta, \phi)\), where \(\rho > 0\), \(0 \leq \theta < 2\pi\), and \(0 \leq \phi \leq \pi\).

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