
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
The voltage \\(v\\) (in volts) of a certain sinusoidal alternating current varies with time \\(t\\) (in seconds) according to the function \\(v=120\sqrt{2}\sin(100\pi t- \frac{\pi}{6})\\), where \\(t \in [0, +\infty)\\).  
\\((1)\\) Find the period, frequency, and amplitude of the sinusoidal alternating current voltage \\(v\\);  
\\((2)\\) If the neon lamp lights up only when the voltage across it is greater than \\(84V\\), find the time during half a period when the neon lamp is on. (Take \\(\sqrt{2} \approx 1.4)\\)

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