
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
\( 3.3998 \cos^{4} \alpha - 4 \cos^{3} \alpha - 8 \cos^{2} \alpha + 3 \cos \alpha + 1 = -2 \sin \left(\frac{7 \alpha}{2}\right) \sin \left(\frac{\alpha}{2}\right) \).

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