Based on the calculations, the formula of this sinusoidal function is equal to f(x) = 6cos(2x) + 4.
How to write the formula of this function?
Mathematically, the standard equation of a cosine function is given by:
y = Acos(Bx - C) + D
Where:
- D is the center line (midline).
For the amplitude, we have:
A = maxline - midline
A = 10 - 4
Amplitude, A = 6.
Since the maxline to the midpoint is euqal to π/4, we have:
¼ × P = π/4
4P = 4π
P = π
For the value of B, we have:
B = 2π/P
B = 2π/π
B = 2.
Since there isn't any phase shift, the value of C is equal to zero (0) and D is equal to 4.
Next, we would substitute the parameters into the cosine function:
y = Acos(Bx - C) + D
y = 6cos(2x - 0) + 4
f(x) = y = 6cos(2x) + 4.
Read more on cosine function here: https://brainly.com/question/26993851
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