
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
Evaluate the following:

1. sin $\frac{25}{6}π$ + cos $\frac{25}{3}π$ + tan(- $\frac{25}{4}π$)
2. Given that $α$ and $β$ are acute angles and sin $α$ = $\frac{3}{5}$, cos($α$ + $β$) = -$\frac{5}{13}$, find sin $β$.

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