
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
\(\frac{1 - 2 \sin^2 \alpha}{2 \operatorname{tg}\left(\frac{5}{4} \pi + \alpha\right) \cos^2\left(\frac{\pi}{4} + \alpha\right)} - \operatorname{tg} \alpha + \sin\left(\frac{\pi}{2} + \alpha\right) - \cos\left(\alpha - \frac{\pi}{2}\right)\).

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