
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
$ABCD$ is a rectangle where $AB = 3$ and $BC = 2$. Point $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AD}$. Find $\sin \theta$.

[asy]
unitsize(1.5 cm);

draw((0,0)--(3,0)--(3,2)--(0,2)--cycle);
draw((0,0)--(3,1));
draw((0,0)--(1.5,2));
label("$A$", (0,0), SW);
label("$B$", (0,2), NW);
label("$C$", (3,2), NE);
label("$D$", (3,0), SE);
label("$M$", (1.5,2), N);
label("$N$", (3,1), E);
label("$\theta$", (.75,.5), SW);
[/asy]

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