Question #9aee7
1 Answer
Explanation:
This kind of wave has the general equation
where
A=amplitude
omega=2pi*f=(2pi)/T
t_0 is the phase change or phase shift of the sinoidal wave
k is the vertical dislocation
Amplitude (
A=(3-(-1))/2=4/2=2
Period (
T=2-0=2
So
omega=(2pi)/T=(cancel(2)pi)/cancel(2) =>omega=pi
The function sine is shifted half cycle forward (or backward), in radians, since a full cycle corresponds to
The axis of the function is one unit above the reference axis
So
It can also be found by the mean:
-> k= ("maximum"+"minimum")/2=(3+(-1))/2=1
Using the results in the general formula:
f(t)=2*sin(pi*t+pi)+1