
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 $2\sin\alpha \cdot \tan\alpha = 3$, and $0 < \alpha < \pi$.
1. Find the value of $\alpha$;
2. Find the range of the function $f(x) = 4\sin x\sin(x-\alpha)$ on the interval $\left[0, \frac{\pi}{4}\right]$.

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