Write a cosine function that has an amplitude of 2, a midline of 5 and a period of \frac{3\pi}{4} 4 3π ​ .

Given:

Amplitude = 2

Midline = 5

Period of .

To find:

The cosine function.

Solution:

The general cosine function is:

           ...(i)

Where, |A| is amplitude, is period, is phase shift and D is the mid line.

Period of function is . So,

Substituting in (i), we get

Therefore, the required cosine function is .

i need a diagram

step-by-step explanation:

no