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PLEASE HELP The rotating light on a lighthouse is 400 feet from a cliff. It completes one rotation every 10 seconds. The equation representing the distance, d, in feet that the center of the circle of light is from the lighthouse is d(t) = 400sec (Ο€t/5). What is the period of d(t)? (Enter only the number.) ...?

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Respuesta :

The period is [2(pi)] / |b|Β 

so, it would be 2pi / pi/5 = 10Β 

for the second part, just plug in 10 where the "t" is.Β 

400sec(10pi/5) or 400sec(2pi)Β 

Sec = 1 / cosΒ 

SO, you get 400*(1/cos(2pi)) = 400* 1/1 = 400. since cos(2pi) = 1Β 
so you get 400 as your answerΒ 


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