Find Amplitude, Period, and Phase Shift y=8cos(x)

Problem

y=8*cos(x)

Solution

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

2. Determine the value of A to find the amplitude. Here, A=8 The amplitude is |A|

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

4. Determine the value of C to find the phase shift. Since there is no horizontal shift inside the cosine function, C=0

Final Answer

Amplitude=8

Period=2*π

Phase Shift=0

Want more problems? Check here!