
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
If $e^{i \gamma} = \frac{4}{5} + \frac{3}{5} i$ and $e^{i \delta} = -\frac{5}{13} + \frac{12}{13} i$, find $\cos(\gamma + \delta)$.

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