
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 function $f(x)$, the area enclosed by the graph of $f(x)$, the lines $x=a$, $x=b$, and the x-axis is referred to as the area of $f(x)$ on $[a, b]$. Find the area of the function $y=\sin(nx)$ ($n>0$) on $\left[0, \frac{\pi}{n}\right]$.

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