What is the amplitude, period and the phase shift of #y = 2 cos (pi x + 4pi) #?

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Answer 1 · 2017-01-06T11:24:50

Amplitude: 2. Period : 2 and phase #4pi#=12.57 radian, nearly.

This graph is a periodic cosine wave.

Amplitude = #(max y - min y)/2 = (2-(-2))/2#,

Period = 2 and

Phase: #4pi#,

comparing with the form

#y = (amplitude) cos( (2pi)/(period)x+phase)#.

graph{2 cos (3.14x+12.57) [-5, 5, -2.5, 2.5]}