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Find the equation of a sine function?
Find the equation of a sine function that has a vertical displacement 2 units down, a horizontal phase shift 60° to the right, a period of 30°, reflection in the y-axis and the amplitude of 3.
1 Answer
- ?Lv 72 years agoFavorite Answer
use = y = a sin(x+p). p is the shift
Compare it. a= -2, p=60
y=-2 sin (x+60). We can take - sign inside
y = 2 sin(x+60+pi)= 2 sin(x+240) This should be the answer. If you want to add period, then write
y= 2 sin (kx +240)
The above equation is in space. You can write it in time as
y = 2 sin(w t +240). w=2 pi /30. This will do. You can do the next problems.