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

Problem

y=3*sin(x)

Solution

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

2. Determine the amplitude by taking the absolute value of the coefficient A

|A|=|3|

Amplitude=3

3. Calculate the period using the formula (2*π)/|B| where B is the coefficient of x

B=1

Period=(2*π)/1

Period=2*π

4. Find the phase shift by identifying the value of C in the expression (x−C)

C=0

Phase Shift=0

Final Answer

Amplitude=3,Period=2*π,Phase Shift=0

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