
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
Given the function y=2sin(x+ $$\frac {π}{2}$$)cos(x- $$\frac {π}{2}$$) intersects with the line y= $$\frac {1}{2}$$ on the right side of the y-axis. The intersection points are labeled sequentially from left to right as A₁, A₂, A₃, …. Find the distance |A₁A₅|.

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