
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 polar coordinate system, the polar equation of curve C is ρ = 2sinθ + 4cosθ (0 ≤ θ < 2π). Point M is (1, $\frac {π}{2}$). In the rectangular coordinate system established with the pole O as the origin and the polar axis as the positive semi-axis of the x-axis, it is known that the straight line l intersects with curve C at points A and B, and its parametric equations are: $$\begin{cases} x= \frac { \sqrt {3}}{2}t \\ y=1+ \frac {1}{2}t\end{cases}$$ (t is the parameter).
(1) If P is any point on curve C, find the rectangular coordinates of point P when |OP| is maximum.
(2) Find the value of $$\frac {1}{|MA|}$$ + $$\frac {1}{|MB|}$$.

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