What is the amplitude, period and the phase shift of #y=cos(t + π/8)#?

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Answer 1 · 2018-07-16T13:19:40

As below.

Standard form of the cosine function is #y = A cos (Bx - C) + D#

#y = cos(t + pi/8)#

#A = 1, B = 1, C = -pi/8, D = 0#

Amplitude # = |A| = 1#

Period #= (2pi) / |B| = (2pi) / 1 = 2 pi#

Phase Shift # = -C / B = pi/8#, #color(purple)(pi/8)# to the RIGHT

Vertical Shift = D = 0#