
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
Given $f_{1}(x)=\sin x+\cos x$, let $f_{2}(x)=f_{1}'(x)$, ..., $f_{n+1}(x)=f_{n}'(x)$, ..., then $f_{1}(\frac{\pi}{3})+f_{2}(\frac{\pi}{3})+f_{3}(\frac{\pi}{3})+\ldots+f_{2017}(\frac{\pi}{3})=$ ______.

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