
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
If the function $f(x)$ has domain $\mathbb{R}$, with the smallest positive period of $\pi$, and when $x \in [0, \pi]$, $f(x) = \sin(x)$, then calculate $f\left( \frac {15\pi}{4} \right)$.

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