
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 graph of the function $y=\cos 2x$ is shifted to the right by $\frac{π}{20}$ units, and then the horizontal coordinates of the points on the resulting graph are halved (while the vertical coordinates remain unchanged). Find the equation of the symmetry axis.

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