
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
Simplify the expression:
\[
\frac{2 \cos ^{2} 2 \alpha - 1}{2 \operatorname{tg}\left(\frac{\pi}{4}-2 \alpha\right) \sin ^{2}\left(\frac{3}{4} \pi-2 \alpha\right)} - \operatorname{tg} 2 \alpha + \cos 2 \alpha - \sin 2 \alpha.
\]

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