
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 that $P(x,y)$ is any point on the curve $C$: $\begin{cases} x = -2 + \cos\theta \\ y = \sin\theta \end{cases}$ where $\theta$ is a parameter, $0 \leqslant \theta < 2\pi$,
(1) Convert the curve into a standard form equation;
(2) Find the range of values for $\frac{y}{x}$.

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