SOLUTION: a water wave is created in a wave tank. it has an amplitude of 8 and a period of 4pi. find the equation of this wave as a cosine function

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Question 876740: a water wave is created in a wave tank. it has an amplitude of 8 and a period of 4pi. find the equation of this wave as a cosine function
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"it has an amplitude of 8"

|A| = 8 ---> A = 8

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"it has...a period of 4pi"

T = 4pi

B = 2pi/T

B = 2pi/(4pi)

B = 1/2

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There is no phase shift, so C = 0

The midline has not been shifted, so D = 0

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Equation:

y = A*cos(Bx-C) + D

y = 8*cos((1/2)x-0) + 0

y = 8*cos(x/2)

Graph:

+graph%28+500%2C+500%2C+-5%2C+15%2C+-10%2C+10%2C+0%2C+8%2Acos%28x%2F2%29%29+