
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
What does $\sin 5 x$ mean, where 5 is an abstract number (not $5^{\circ}$ or $5^{\prime}$)? How can the value of this function be calculated using ordinary trigonometric tables?

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