trig
posted by Michael .
A sinusoid (sine curve) rises from a minimum value of y=8 at x=0 to a maximum value of y=40 at x=50. Write a sine function for this curve

The function has a mean value of (408)/2 = 16 (which will have to be added as a constant term), and it attains the mean value when x = 25. The amplitude is 4016  24. Since is goes from min to max when x changes by 50, the period is 100
F(x) = 16 + 24 sin[2 pi (x25)/100]
= 16 + 24 sin[pi(x25)/50]