
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 $f\_0(x) = \sin x$, $f\_1(x) = f\_0'(x)$, $f\_2(x) = f\_1'(x)$, ..., $f\_{n+1}(x) = f\_n'(x)$, where $n \in \mathbb{N}$, find the value of $f\_{2017}(0)$ = \_\_\_\_\_\_.

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