
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
Apply a scaling transformation to the unit circle: $\phi: \begin{cases} x′=λx \\ y′=μy\end{cases}$ ($λ>0$, $μ>0$) to obtain the curve C: $\frac {x^{2}}{4}+ \frac {y^{2}}{2}=1$  
(1) Find the values of the real numbers λ and μ;  
(2) With the origin O as the pole and the x-axis as the polar axis, establish a polar coordinate system. Express the distance ρ (ρ≥0) from any point on curve C to the pole as a function of the corresponding polar angle θ (0≤θ<2π), and investigate for what value of θ, ρ takes the minimum value?

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