Find Amplitude, Period, and Phase Shift y=3/2*cos(t/2)

Problem

y=3/2*cos(t/2)

Solution

1. Identify the standard form of the trigonometric function y=A*cos(B*(t−C))+D

2. Determine the amplitude by taking the absolute value of the coefficient A where A=3/2

3. Calculate the period using the formula P=(2*π)/|B| where B=1/2

4. Identify the phase shift C by looking for a horizontal translation inside the cosine function. Since there is no constant added to or subtracted from t the phase shift is 0

Final Answer

Amplitude=3/2,Period=4*π,Phase Shift=0

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