
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 $(5 \operatorname{cis} 25^\circ)$ and $(4\operatorname{cis} (-48^\circ))$ in polar form as $r \operatorname{cis} \theta$, where $r > 0$ and $0^\circ \le \theta < 360^\circ.$ Provide the ordered pair $(r, \theta)$.

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