
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 measure of the angle

$$
\delta = \arccos \left( \left( \sin 2195^\circ + \sin 2196^\circ + \cdots + \sin 5795^\circ \right)^{\cos 2160^\circ} + \cos 2161^\circ + \cdots + \cos 5760^\circ \right)
$$

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