
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
\(2 \cos^{6}(2t) - \cos^{4}(2t) + 1.5 \sin^{2}(4t) - 3 \sin^{2}(2t) = 0\)

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