
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 that y=f(x) is a function with a period of π, and f(x) = $$\begin{cases} \sin{x}, x \in (0, \frac{\pi}{2}] \\ -x, x \in (-\frac{\pi}{2}, 0] \end{cases}$$, find the solution set of the equation $f(x) = \frac{1}{4}$.

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