
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 that $\cos (α-β)= \frac{3}{5}$, $\sin β=- \frac{5}{13}$, and $α∈\left( \left. 0, \frac{π}{2} \right. \right)$, $β∈\left( \left. - \frac{π}{2},0 \right. \right)$, find the value of $\sin α$.

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