
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

Form the equations of the tangent and normal lines to the curve at the point corresponding to the parameter value \( t=t_{0} \).

\[
\left\{
\begin{array}{l}
x=\frac{1+\ln t}{t^{2}} \\
y=\frac{3+2 \ln t}{t}
\end{array}
\right.
\]

where \( t_{0}=1 \).

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