
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
Let
\[ g(x) = (\arccos x)^4 + (\arcsin x)^4. \]
Find the range of $g(x)$ where $x \in [-1,1]$ and both $\arccos x$ and $\arcsin x$ are measured in radians.

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