
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 that $\alpha \in \left(0, \frac{\pi}{2}\right)$ and $\beta \in \left(0, \frac{\pi}{2}\right)$, and $\frac{\sin\alpha}{\cos\alpha} = \frac{\cos\beta}{1-\sin\beta}$, solve for the equation $2\alpha - \beta = \frac{\pi}{2}$.

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