
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 of the complex numbers $(5 \operatorname{cis} 30^\circ)$ and $(-3 \operatorname{cis} 50^\circ)$ in polar form, expressing the result 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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