
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
Suppose the coordinate expression of dilation transformation on the plane is given by
$$
\begin{cases}
x'= \frac {1}{2}x \\
y'=3y
\end{cases},
$$
then the equation of the sine curve $y=\sin x$ under this coordinate transformation becomes ______.

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