
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
Initially, the function \(\sin x + \cos x\) is written on the board. You are allowed to write the derivative of any function previously written on the board, as well as the sum and product of any two previously written functions. After performing these operations multiple times, at some point, a function equal to a constant \(c\) for all real \(x\) appears on the board. What can \(c\) be equal to?

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