Find Amplitude, Period, and Phase Shift y=6cos(x)

Problem

y=6*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=6 The amplitude is |A|

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

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

Final Answer

Amplitude=6,Period=2*π,Phase Shift=0

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