
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
Find the sine of the angle at the vertex of an isosceles triangle if it is known that the median drawn to the lateral side forms an angle with the base, whose sine is $\frac{3}{5}$.

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