
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
On the board, a function \(\sin x + \cos x\) is written. It is allowed to write the derivative of any previously written function, as well as the sum and product of any two previously written functions. This can be done multiple times. At some point, a function that equals a constant \(c\) for all real \(x\) appears on the board. What could \(c\) be?

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