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 amplitude by finding the absolute value of the coefficient A Here, A=1

3. Calculate the period using the formula P=(2*π)/|B| In this equation, B=1

4. Find the phase shift by identifying the value of C Since the expression is (x+π/4) we rewrite it as (x−(−π/4))

Final Answer

Amplitude=1

Period=2*π

Phase Shift=−π/4

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