
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 equations of curve $C$ are $\begin{cases}x= \sqrt{2}\cos t \\ y= \sqrt{2}\sin t \end{cases}$ (where $t$ is the parameter), and the tangent line to $C$ at the point $(1,1)$ is $l$. Establish a polar coordinate system with the origin as the pole and the positive half-axis of $x$ as the polar axis, and find the polar equation of $l$.

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