Find Amplitude, Period, and Phase Shift y=-3cos(x)

Problem

y=−3*cos(x)

Solution

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

2. Determine the amplitude by taking the absolute value of the coefficient A Here, A=−3

Amplitude=|A|

Amplitude=|−3|=3

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

Period=(2*π)/|1|

Period=2*π

4. Determine the phase shift by identifying the horizontal displacement C Since there is no value subtracted from x inside the cosine function, C=0

Phase Shift=0

Final Answer

Amplitude=3,Period=2*π,Phase Shift=0

Want more problems? Check here!