
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
The slope angle of the tangent line to the curve $f(x)=- \frac{ \sqrt{3}}{3}x^{3}+2$ at $x=1$ is $\tan^{-1} \left( \frac{f'(1)}{1} \right)$ where $f'(1) = - \frac{ \sqrt{3}}{3}(3)(1)^{2}$. What is the value of this slope angle in terms of $\pi$?

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