
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
\(\sqrt{\frac{1+\sin \alpha}{1-\sin \alpha}} - \sqrt{\frac{1-\sin \alpha}{1+\sin \alpha}}\), given:

a) \(90^\circ < \alpha < 180^\circ\);

b) \(270^\circ < \alpha < 360^\circ\).

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