
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
The sides of a parallelogram are 2 and 4, and the angle between them is $60^{\circ}$. Lines are drawn through the vertex of this angle, passing through the midpoints of the other two sides of the parallelogram. Find the cosine of the angle between these lines.

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