Respuesta :

x-axis(y=0)...........................................

Answer:

The middle line for the given function is y=0.

Step-by-step explanation:

The given function is

[tex]f(t)=5\csc(3t-\frac{\pi}{6})[/tex]          .... (1)

The general form of csc function is

[tex]f(x)=A\csc(Bx+C)+D[/tex]               .... (2)

where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, C/B is phase shift and D is middle line.

From (1) and (2), we get

[tex]D=0[/tex]

Therefore the middle line for the given function is y=0.

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