Find Amplitude, Period, and Phase Shift y=sin(1/3x)

Problem

y=sin(1/3*x)

Solution

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

2. Determine the coefficients from the given equation y=sin(1/3*x) where A=1 B=1/3 C=0 and D=0

3. Calculate the amplitude using the formula Amplitude=|A|

|1|=1

4. Calculate the period using the formula Period=(2*π)/|B|

(2*π)/(1/3)=6*π

5. Calculate the phase shift using the formula Phase Shift=C

C=0

Final Answer

Amplitude=1,Period=6*π,Phase Shift=0

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