
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 rectangular coordinate system xOy, the parametric equations of the curve C₁ are $$\begin{cases} x=cost \\ y=sin^{2}t \end{cases}$$ (where t is the parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis. The polar coordinate equation of the line C₂ is $$ρ(sinθ-acosθ)= \frac {1}{2}$$ (a∈R).
(1) Write the ordinary equation of the curve C₁ and the rectangular coordinate equation of the line C₂;
(2) If the line C₂ intersects with the curve C₁ at two distinct points, find the range of values for a.

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