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

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