
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 a point $P$ outside a circle $(x^{2}+y^{2}=1)$, draw two tangent lines $(PM$ and $PN$, where $M$ and $N$ are the tangent points) from the point to the circle. If $\angle{MPN}=90^{\circ}$, find the trajectory equation of the moving point $P$.

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