
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
Convert the parameter equation $ \begin{cases} x= \frac {1}{2}(e^{t}+e^{-t})\cos \theta \\ y= \frac {1}{2}(e^{t}-e^{-t})\sin \theta \end{cases} $, where $\theta$ is a parameter and $t$ is a constant, into a standard equation. (The result can retain $e$.)

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