
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
Find the value of the expression \(\frac{\sqrt{\operatorname{tg} \alpha}+\sqrt{\operatorname{ctg} \alpha}}{\sqrt{\operatorname{tg} \alpha}-\sqrt{\operatorname{ctg} \alpha}},\) given that \(0 < \alpha < \frac{\pi}{2}\) and \(\alpha \neq \frac{\pi}{4}\).

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