
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
Angle $\alpha$ is an angle in the fourth quadrant, and its terminal point intersects the unit circle at $P(\frac{4}{5},-\frac{3}{5})$. If angle $\alpha$ is rotated clockwise by $\frac{π}{2}$ to obtain angle $\beta$, then the coordinates of the intersection point $P'$ of the terminal side of angle $\beta$ with the unit circle are ______.

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