
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 parametric equations of an ellipse as $\begin{cases}x=\cos \varphi \\\\ y=2\sin \varphi\end{cases}$ ($\varphi$ is the parameter), where point $M$ is on the ellipse with the corresponding parameter $\varphi=\frac{\pi}{3}$, and point $O$ is the origin, calculate the slope of the line $OM$.

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