
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
(1) Convert the parametric equation to a standard equation: 
\[
\begin{cases} 
x=\sin \theta +\cos \theta \\
y=1+\sin 2\theta 
\end{cases}
\]
where $\theta$ is the parameter.

(2) Find the parametric equations for the ellipse $\dfrac {x^{2}}{9}+ \dfrac {y^{2}}{4}=1$:
- (i) Let $x=3\cos \phi$, where $\phi$ is the parameter;
- (ii) Let $y=2t$, where $t$ is the parameter.

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