
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
Calculate the product of the complex numbers $(4 \operatorname{cis} 30^\circ)$, $(-3\operatorname{cis} 45^\circ)$, and $(5\operatorname{cis} 60^\circ)$, and express it in polar form as $r \operatorname{cis} \theta,$ where $r > 0$ and $0^\circ \le \theta < 360^\circ.$ Enter the ordered pair $(r, \theta).$

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