
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
(Optional Question) Let P(x, y) be any point on the curve C: 
$$
\begin{cases}
x=-2+\cos\theta \\
y=\sin\theta
\end{cases}
$$
(where $\theta$ is the parameter). Then, the range of values of $\frac{y}{x}$ is __________.

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