
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
In the same Cartesian coordinate system, the conic section curve $C$ is transformed into the curve $x^{2}+y^{2}=1$ through the scaling transformation $φ$: $ \begin{cases} x′= \frac {1}{3}x \\ y′= \frac {1}{2}y \end{cases}$. Determine the eccentricity of curve $C$.

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