
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 $$f(x)= \begin{cases} \overset{4x^{2}-1,x\leq 0}{sin^{2}x-cos^{2}x,x>0}\end{cases}$$, find $f(f(\frac{\pi}{12}))$.

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