Find Amplitude, Period, and Phase Shift y=cos(x-pi/4)

Problem

y=cos(x−π/4)

Solution

1. Identify the standard form of the cosine function, which is y=A*cos(B*(x−C))+D

2. Determine the value of A to find the amplitude. In this equation, A=1 The amplitude is |A|

3. Determine the value of B to find the period. In this equation, B=1 The formula for the period is (2*π)/|B|

4. Determine the value of C to find the phase shift. In this equation, C=π/4 The phase shift is C where a positive value indicates a shift to the right.

Final Answer

Amplitude=1,Period=2*π,Phase Shift=π/4

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