Question

Identify the middle line for the function: 5csc(3t-pi/6)

Answer 1

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

Answer 2

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

Explanation:

The given function is

`f(t)=5\csc(3t-(\pi)/(6))` .... (1)

The general form of csc function is

`f(x)=A\csc(Bx+C)+D` .... (2)

where, |A| is amplitude,
`(2\pi)/(B)` is period, C/B is phase shift and D is middle line.

From (1) and (2), we get

`D=0`

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