Find Amplitude, Period, and Phase Shift y=cos(x)-1

Problem

y=cos(x)−1

Solution

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

2. Determine the coefficients from the given equation y=1*cos(1*(x−0))−1 where A=1 B=1 C=0 and D=−1

3. Calculate the amplitude using the formula Amplitude=|A|

Amplitude=|1|=1

4. Calculate the period using the formula Period=(2*π)/|B|

Period=(2*π)/1=2*π

5. Identify the phase shift, which is represented by the value of C

Phase Shift=0

Final Answer

Amplitude=1,Period=2*π,Phase Shift=0

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