
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
(Ⅰ) The Cartesian coordinates of point P are $(- \sqrt {2}, \sqrt {2})$. Find its polar coordinates (write only one set).  
(Ⅱ) In the same Cartesian coordinate system, after a scaling transformation $\begin{cases} x′=5x \\ y′=3y\end{cases}$, the curve C becomes $2x'^2+8y'^2=1$. Find the equation of curve C.

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