
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
Under the condition that polar coordinates and Cartesian coordinates can be converted to each other, determine the curve resulting from the polar coordinate equation $\rho^{2}= \frac {12}{3\cos ^{2}\theta+4\sin ^{2}\theta}$, after undergoing a scaling transformation in the Cartesian coordinate system $\begin{cases} x′= \frac {1}{2}x \\ y′= \frac { \sqrt {3}}{3}y\end{cases}$.

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