Find Amplitude, Period, and Phase Shift y=3sin(2/3x)

Problem

y=3*sin(2/3*x)

Solution

1. Identify the standard form of the trigonometric function y=A*sin(B*(x−C))+D where A=3 B=2/3 C=0 and D=0

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

|A|=|3|=3

3. Calculate the period using the formula P=(2*π)/|B|

P=(2*π)/2/3=3*π

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

Phase Shift=0

Final Answer

Amplitude=3,Period=3*π,Phase Shift=0

Want more problems? Check here!