
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 parametric equation of curve $C$ as $\begin{cases} x=\sqrt{2}\cos t, \\ y=\sqrt{2}\sin t \end{cases}$ ($t$ is the parameter), the tangent line $l$ at point $(1,1)$ on $C$, and a polar coordinate system established with the origin as the pole and the positive semi-axis of $x$ as the polar axis. Determine the polar coordinate equation of $l$.

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