
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
Let point $P$ be a moving point on the unit circle with the origin as its center. It starts from the initial position $P_{0}(1,0)$, moves counterclockwise along the unit circle by an angle $\alpha(0<\alpha<\frac{\pi}{2})$ to reach point $P_{1}$, and then continues counterclockwise along the unit circle by an angle $\frac{\pi}{4}$ to reach $P_{2}$. If the abscissa of point $P_{2}$ is $-\frac{3}{5}$, determine the ordinate of point $P_{1}$.

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