
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
Compute the product in polar form of the complex numbers $(4 \operatorname{cis} 45^\circ)(-3 \operatorname{cis} 20^\circ)(2 \operatorname{cis} 15^\circ)$ and express it as $r \operatorname{cis} \theta$, where $r > 0$ and $0^\circ \le \theta < 360^\circ$. Determine the ordered pair $(r, \theta)$.

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