Assume that #B>0#. For a function of the form #y=Asin(Bx+C)+D=Asin(B(x+C/B))+D#, the amplitude (half the vertical distance between the high point and low point) is #|A|#,
the period (horizontal peak-to-peak distance) is #(2pi)/B#,
the vertical shift is #D#, up if #D>0# and down if #D<0# (this is the vertical location of the "midline" or "average value" of the function),
and the phase shift is #C/B# as a horizontal shift of a sine wave (to the left if #C/B>0# and to the right if #C/B<0#) and as a phase "angle" it's #C/(2pi)# (this last quantity represents the horizontal shift as a signed fraction of a period).
Similar statements hold for functions of the form #y=Acos(Bx+C)+D=Acos(B(x+C/B))+D#, but the horizontal shift is with respect to a cosine wave.
