
Bradford T. answered 07/26/21
Retired Engineer / Upper level math instructor
Fit curves to Asin(B(x+C))+D
1) D= (max+min)/2 = (2-4)/2 = -1
A(1)-1 = 2 --> A=3
A(-1)-1=--4 --> A=3
Period = 120
B = 2π/120 = π/60
π/60C = π/2 C= 30
y = 3sin((π/60(x+30))
2) D= (4+2)/2 = 3
A+3 = 4 --> A= 1
period = 180
B = 2π/180 = π/90
(π/90)C = 3π/2 --> C = 135
y = sin((π/90)(x+135)) + 3