I thought phase shift was theta over omega correct???
and the period equals two pi over omega
40 min = (2pi)/omega
omgea = pi/20 min
phase shift = theta over omega
phase sift = (20?)/pi min
now you said phase shift was (35 pi)/40
I do not see why
I appologize i made a spelling mistake when wrote shift and acendentally forgot the f and the forums were not to happy :O
http://www.jiskha.com/display.cgi?id=1260147144
No problem, let me clarify the concept of phase shift for you. In the context of periodic functions, such as sine and cosine functions, the phase shift represents the horizontal displacement of the graph. It indicates the amount by which the graph is shifted to the left or to the right.
The correct formula for phase shift is given by:
Phase Shift = (theta) / (omega)
Here, theta represents the angle of the phase shift, and omega is the angular frequency. So, the phase shift is measured in radians.
Now, let's use your example to find the phase shift. You correctly calculated the value of omega as pi / 20 minutes. However, the given information for the period is 40 minutes, which means one complete cycle occurs every 40 minutes.
To find the phase shift, remember that the phase shift is the amount of time the graph is shifted horizontally. In this case, the phase shift is given as (35 pi) / 40. This means that the graph is shifted to the right by this amount.
So, the correct phase shift in this case is (35 pi) / 40.