
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
Let \(a\) and \(b\) be acute angles such that
\begin{align*}
4 \sin^2 a + 3 \sin^2 b &= 1, \\
4 \sin 2a + 3 \sin 2b &= 0.
\end{align*}
Find \(2a + 3b\) as measured in radians.

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