2y=cos(4(t-6))+6

what about it?

here is a picture of it

http://www.wolframalpha.com/input/?i=y%3D%281%2F2%29cos%284%28t-6%29%29%2B6

the 4 is supposed to be 8, but im trying to find the amplitude, midline, and period. Sorry forgot to put that.

To solve the equation 2y = cos(4(t-6)) + 6, we will go through the steps to isolate the variable y.

Step 1: Distribute the cosine function
2y = cos(4t - 24) + 6

Step 2: Move 6 to the other side of the equation
2y - 6 = cos(4t - 24)

Step 3: Divide both sides of the equation by 2
y - 3 = (1/2)cos(4t - 24)

Step 4: Move -3 to the other side of the equation
y = (1/2)cos(4t - 24) + 3

So, the equation in terms of y is y = (1/2)cos(4t - 24) + 3.