Question

Need help thanks in advance

Answer 1

Answer:

Period = pi

Angular frequency = 2

Amplitude = 5

Midline is the line y = 3

Step-by-step explanation:

A sinusoidal wave is written in the general form as:

f(x) = A*cos(w*x) + C

Where:

- A is the amplitude.

- w is the angular frequency, this is equal to 2*pi/T

  where T is the period.

- y = C is the midline.

Then in the equation:

f(x) = 5*cos(2*x) + 3

- 5 is the amplitude.

- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)

- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:

2 = 2*pi/T

T = 2*pi/2 = pi

pi is the period.

- y = 3 is the midline.