Question

What is the equation for this cosine function?

Answer 1

Answer:

2pi ÷ 6pi/5

2pi × 5/6pi = 5/3

5 cos[(5/3)x] - 6

Answer 2

Answer:

f(x) = 5 cos (5/3)x - 6.

Step-by-step explanation:

The function will be of the form f(x) = AcosB + c   where B is the frequency.

The period of  cos x is 2π and and of this function it is  6π/5 the  value of B (the frequency) is calculated  as follows:

Period = 2π/ B

B = 2π /  6π/5

= 5/3.

A is the amplitude which is 5 and c is the  vertical displacement which is -6.