
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

Find the second derivative \( y_{xx}^{\prime \prime} \) of the function given parametrically.

\[
\begin{cases}
x = \sin t - t \cdot \cos t \\
y = \cos t + t \cdot \sin t
\end{cases}
\]

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