Question
Amplitude and period of 4 - cos 2x
Answers
GPT 3.5
The given function is 4 - cos(2x).
To find the amplitude, we need to look at the coefficient in front of the cosine function. In this case, the coefficient is 1, which means the amplitude is 1.
To find the period, we use the formula T = 2π/|B|, where B is the coefficient of x. In this case, the coefficient is 2, so the period is T = 2π/2 = π.
Therefore, the amplitude of 4 - cos(2x) is 1 and the period is π.
To find the amplitude, we need to look at the coefficient in front of the cosine function. In this case, the coefficient is 1, which means the amplitude is 1.
To find the period, we use the formula T = 2π/|B|, where B is the coefficient of x. In this case, the coefficient is 2, so the period is T = 2π/2 = π.
Therefore, the amplitude of 4 - cos(2x) is 1 and the period is π.