
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

What are the values of the acute angles $\alpha$ and $\beta$ if they satisfy the following system of equations?

$$
\begin{aligned}
2 \sin 2 \beta & =3 \sin 2 \alpha \\
\operatorname{tg} \beta & =3 \operatorname{tg} \alpha
\end{aligned}
$$

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