
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
Given the polar coordinate system with the origin as the pole and the positive half-axis of the x-axis as the polar axis, it is known that the curve C is defined by $$\begin{cases} \left.\begin{matrix}x=2\cos\alpha \\ y=3\sin\alpha\end{matrix}\right.\end{cases}$$ (where $\alpha$ is a parameter) and the point in polar coordinates $$M(2, \frac{\pi}{4})$$.
(1) Determine the positional relationship between point M and curve C;
(2) In the polar coordinate system, rotate point M counterclockwise around the pole by $\theta$ ($\theta \in [0, \pi]$) to get point M'. If point M' lies on curve C, find the value of $\theta$.

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