
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 the function $f^{(0)}(x) = \sin x$, and define the recursive function $f^{(n)}(x) = f'[f^{(n-1)}(x)]$, calculate the value of $f^{(1)}(15^{\circ}) + f^{(2)}(15^{\circ}) + f^{(3)}(15^{\circ}) + \ldots + f^{(2017)}(15^{\circ})$.

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